2.1 Functions: Difference between revisions

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:: Answer: <math>\begin{align}\sqrt[m]{(x)^n}=\left(\sqrt[m]{x}\right)^{n}=x^{\frac{n}{m}}\end{align}</math> Where <math>m</math> is called the index and <math>n</math> is called the power.
:: Answer: <math>\begin{align}\sqrt[m]{(x)^n}=\left(\sqrt[m]{x}\right)^{n}=x^{\frac{n}{m}}\end{align}</math> Where <math>m</math> is called the index and <math>n</math> is called the power.


\left ( \frac{1}{2} \right )^n
<math>\left ( \frac{1}{2} \right )^n</math>


==Solutions==
==Solutions==

Revision as of 19:03, 19 August 2022

Lecture

Lecture notes

1. How do you read ?

Answer: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \begin{align}\overbrace{D}^{\text{the domain}} \underbrace{=}_{\text{is}} \overbrace{\{}^{\text{the set}} \underbrace{\forall x}_{\text{of all x}}\overbrace{|}^{\text{such that}}\underbrace{x\in\Re}_{\text{x is an element of the real number set}} \overbrace{, x \neq -5}^{\text{where x is not equal to -5}} \end{align}}

2. How do you covert from radical form to exponential form?
Answer: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \begin{align}\sqrt[m]{(x)^n}=\left(\sqrt[m]{x}\right)^{n}=x^{\frac{n}{m}}\end{align}} Where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle m} is called the index and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle n} is called the power.

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \left ( \frac{1}{2} \right )^n}

Solutions