Recent questions tagged domain

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Determine the domain of $g(x)=\frac{2 x}{x}$

asked Aug 26 in Mathematics by MathsGee Platinum (98.5k points) | 20 views

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Can I add a custom domain to my Acalytica page?

asked Aug 22 in Link-in-Bio by MathsGee Platinum (98.5k points) | 4 views

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$ \begin{array}{l}\text { If } x=5+2 \sqrt{6} \\ \text { Find } \sqrt{x}+\frac{1}{\sqrt{x}}\end{array} $

asked May 13 in Mathematics by MathsGee Platinum (98.5k points) | 76 views

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What is an unbounded set?

asked Mar 7 in Mathematics by Maths Genie Bronze Status (8.8k points) | 187 views

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WHat is an unbounded function?

asked Mar 7 in Mathematics by Maths Genie Bronze Status (8.8k points) | 179 views

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The function $f: R \rightarrow R$ defined as $f(x)=7 x+4$ is both one-one and onto. True/False

asked Feb 15 in Mathematics by Maths Genie Bronze Status (8.8k points) | 221 views

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How do you determine the codomain of a function?

asked Feb 2 in Mathematics by AstraNova Diamond (55.6k points) | 190 views

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What is the codomain of a function?

asked Feb 2 in Mathematics by AstraNova Diamond (55.6k points) | 128 views

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Give the range and domain of the following graph.

asked Jan 30 in Mathematics by AstraNova Diamond (55.6k points) | 153 views

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What is a limit of a function?

asked Jan 27 in Mathematics by AstraNova Diamond (55.6k points) | 189 views

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What is the domain and range of the function $y = \frac{1}{x}$?

asked Jan 27 in Mathematics by AstraNova Diamond (55.6k points) | 131 views

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Determine the domain of the function $f(x)=\log _2(1-2 x)$.

asked Jan 22 in Mathematics by MathsGee Platinum (98.5k points) | 123 views

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What is the inverse function of $f(x)=2 x-4$?

asked Jan 22 in Mathematics by MathsGee Platinum (98.5k points) | 134 views

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Are one-to-many relations considered as functions?

asked Jan 22 in Mathematics by MathsGee Platinum (98.5k points) | 338 views

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What is a many-to-one function?

asked Jan 22 in Mathematics by MathsGee Platinum (98.5k points) | 160 views

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What is a one-to-one function?

asked Jan 22 in Mathematics by MathsGee Platinum (98.5k points) | 154 views

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Find the domain and range of the function: $f(x) = x^2 + 3x - 2$

asked Jan 14 in Mathematics by MathsGee Platinum (98.5k points) | 158 views

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Find the inverse of the function $f(x) = 4x - 5$

asked Jan 9 in Mathematics by MathsGee Platinum (98.5k points) | 128 views

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Given the function $f(x) = 3x + 5$, find the inverse function

asked Jan 9 in Mathematics by MathsGee Platinum (98.5k points) | 118 views

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Find the inverse of the function $f(x) = x^2 - 3$

asked Jan 9 in Mathematics by MathsGee Platinum (98.5k points) | 122 views

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Explain in your own words how to find the third derivative of a function $f(x)$.

asked Sep 12, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 145 views

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Given a function $y=f(x)$, in your own words describe how to find the units of $f^{\prime}(x)$.

asked Sep 12, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 157 views

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$T / F$ : The definition of the derivative of a function at a point involves taking a limit.

asked Sep 12, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 165 views

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What is the definition of a derivative of a function at a point?

asked Sep 12, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 133 views

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In your own words, describe what the Intermediate Value Theorem states.

asked Sep 12, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 126 views

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In your own words, describe what it means for a function to be continuous.

asked Sep 12, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 155 views

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What can be said about the relative sizes of $f(x)$ and $g(x)$ as $x$ approaches 1 ?

asked Sep 12, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 126 views

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Given a function $y=f(x)$ and an $x$-value, $c$, when do we say that "the limit of the function $f$, as $x$ approaches $c$, is a value $L^{\prime \prime}$?

asked Sep 12, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 95 views

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In your own words, what is a difference quotient?

asked Sep 12, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 145 views

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True/False: The limit of $f(x)$ as $x$ approaches 5 is $f(5)$.

asked Sep 12, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 130 views

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In your own words, what does it mean to "find the limit of $f(x)$ as $x$ approaches $3^{\prime \prime} ?$

asked Sep 12, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 200 views

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Consider a linear operator $L$ on the vector space of $2 \times 2$ matrices given by

asked Aug 11, 2022 in Mathematics by MathsGee Platinum (98.5k points) | 151 views

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Compute $\left(\begin{array}{ll}1 & 2 \\ 4 & 8\end{array}\right)\left(\begin{array}{l}5 \\ 3\end{array}\right)$

asked Jul 10, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 157 views

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If $\omega$ and $\lambda$ are $k$ - and $m$-forms, respectively, prove that \[ \omega \wedge \lambda=(-1)^{k m} \lambda \wedge \omega \]

asked Jul 5, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 178 views

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Solve the following IVP.

asked Jul 2, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 188 views

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Solve the following IVP.

asked Jul 2, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 232 views

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Consider the function $u: \mathbb{R} \rightarrow \mathbb{R}$ \[ u(x)=\left\{\begin{array}{r} -x^{2} x<0 \\ x^{2} x \geq 0 \end{array}\right. \]

asked Jul 1, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 164 views

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If $k=7+\dfrac{8}{k}$, what is the value of $k^{2}+\dfrac{64}{k^{2}} ?$

asked Jun 22, 2022 in Mathematics by MathsGee Platinum (98.5k points) | 163 views

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If $\mathrm{k}$ is an integer, then $\mathrm{x}^{\wedge}(2)+7 \mathrm{x}-14\left(\mathrm{k}^{\wedge}(2)-\dfrac{7}{8}\right)=0$ has

asked Jun 22, 2022 in Mathematics by MathsGee Platinum (98.5k points) | 125 views

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Given: $\dfrac{x+6}{-7} \geq 1$ where $x \in \mathbb{R}$

asked Jun 22, 2022 in Mathematics by MathsGee Platinum (98.5k points) | 109 views

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Find the domain of the function. \[ f(x)=\dfrac{3}{x-3} \]

asked Jun 6, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 175 views

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Find the domain of the function. \[ f(x)=11(x+7) \]

asked Jun 6, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 189 views

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For all $x$ in the domain of the function $\frac{x+1}{x^{3}-x}$, this function is equivalent to:

asked May 18, 2022 in Mathematics by MathsGee Platinum (98.5k points) | 322 views

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A function $f(x)$ is convex on $(a, b)$ if

asked Feb 20, 2022 in Mathematics by MathsGee Platinum (98.5k points) | 287 views

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State the definition of the derivative of a function $g$ at a number $x$.

asked Feb 4, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 326 views

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Let $g(x)=\arcsin (\sin x)$. Graph $g(x)$ and state its domain and range.

asked Feb 4, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 363 views

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State domain and range of $f(x)=\arcsin x$.

asked Feb 4, 2022 in Mathematics by AstraNova Diamond (55.6k points) | 215 views

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An $n \times n$ matrix is called nilpotent if $A^{k}$ equals the zero matrix for some positive integer $k$. (For instance, $\left(\begin{array}{ll}0 & 1 \\ 0 & 0\end{array}\right)$ is nilpotent.)

asked Jan 21, 2022 in Mathematics by MathsGee Platinum (98.5k points) | 332 views

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\begin{equation} \text { Consider the system } A X=B, \text { where } X=\left[\begin{array}{l} x \\ y \\ z \end{array}\right] \text {. } \end{equation}

asked Jan 13, 2022 in Mathematics by MathsGee Platinum (98.5k points) | 345 views

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Prove Rolle's Theorem under the assumption that for the function $f$ on $[a, b]$ you have $f(x)>f(a)$ for some $x$ in the domain of $f$.

asked Jan 13, 2022 in Mathematics by MathsGee Platinum (98.5k points) | 182 views

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