Find the inverse function in slope-intercept form (mx+b) : f(x)=-5x+20 Answer: f^(-1)(x)=

Understand Inverse Function: Understand the concept of an inverse function. An inverse function reverses the operation of the original function. If f(x) = y, then f^(-1)(y) = x. To find the inverse function, we need to solve for x in terms of y.Replace with y: Replace f(x) with y to prepare for finding the inverse. y = -5x + 20Swap x and y: Swap x and y to find the inverse function. x = -5y + 20Solve for y: Solve for y in terms of x. Add 5y to both sides and subtract x from both sides to isolate y. 5y = 20 - xDivide to solve: Divide both sides by 5 to solve for y. y = (20 - x) / 5Simplify the equation: Simplify the equation. y = 4 - (1/5)x This is the inverse function in slope-intercept form.Replace with f^(-1)(x): Replace y with f^(-1)(x) to denote the inverse function. f^(-1)(x) = 4 - (1/5)x

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Find the inverse function in slope-intercept form
(mx+b) :

f(x)=-5x+20
Answer:
f^(-1)(x)=

Find the inverse function in slope-intercept form $(\mathrm{mx}+\mathrm{b})$ : $\newline$ $f(x)=-5 x+20$ $\newline$ Answer: $f^{-1}(x)=$

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Algebra 2

Find the vertex of the transformed function

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Q. Find the inverse function in slope-intercept form

(\mathrm{mx}+\mathrm{b})

\newline

f(x)=-5 x+20

\newline

Answer:

f^{-1}(x)=

Understand Inverse Function: Understand the concept of an inverse function. An inverse function reverses the operation of the original function. If $f(x) = y$ , then $f^{-1}(y) = x$ . To find the inverse function, we need to solve for $x$ in terms of $y$ .
Replace with $y$ : Replace $f(x)$ with $y$ to prepare for finding the inverse. $\newline$ $y = -5x + 20$
Swap x and y: Swap $x$ and $y$ to find the inverse function. $\newline$ $x = -5y + 20$
Solve for y: Solve for y in terms of x. $\newline$ Add $5y$ to both sides and subtract $x$ from both sides to isolate $y$ . $\newline$ $5y = 20 - x$
Divide to solve: Divide both sides by $5$ to solve for $y$ . $y = \frac{20 - x}{5}$
Simplify the equation: Simplify the equation. $\newline$ $y = 4 - \frac{1}{5}x$ $\newline$ This is the inverse function in slope-intercept form.
Replace with $f^{-1}(x)$ : Replace $y$ with $f^{-1}(x)$ to denote the inverse function. $\newline$ $f^{$-1$}(x) = $4$ - \left(\frac{$1$}{$5$}\right)x