Find the inverse function in slope-intercept form (mx+b) : f(x)=5x-10 Answer: f^(-1)(x)=

Understand Inverse Function: Understand the concept of an inverse function. An inverse function, denoted as f^(-1)(x), swaps the x and y values of the original function. For the function f(x) = 5x - 10, we want to find a function that will give us the original x value when we input the y value from f(x).Replace with y: Replace f(x) with y to make the equation easier to work with. y = 5x - 10Swap x and y: Swap x and y to find the inverse function. x = 5y - 10Solve for y: Solve for y to get the inverse function in slope-intercept form. x + 10 = 5y y = (x + 10) / 5Simplify Inverse Function: Simplify the inverse function if necessary. y = (1/5)x + 2 This is the inverse function in slope-intercept form.

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

f(x)=5x-10
Answer:
f^(-1)(x)=

Find the inverse function in slope-intercept form $(\mathrm{mx}+\mathrm{b})$ : $\newline$ $f(x)=5 x-10$ $\newline$ 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-10

\newline

Answer:

f^{-1}(x)=

Understand Inverse Function: Understand the concept of an inverse function. An inverse function, denoted as $f^{-1}(x)$ , swaps the $x$ and $y$ values of the original function. For the function $f(x) = 5x - 10$ , we want to find a function that will give us the original $x$ value when we input the $y$ value from $f(x)$ .
Replace with $y$ : Replace $f(x)$ with $y$ to make the equation easier to work with. $\newline$ $y = 5x - 10$
Swap x and y: Swap x and y to find the inverse function. $x = 5y - 10$
Solve for y: Solve for y to get the inverse function in slope-intercept form. $\newline$ $x + 10 = 5y$ $\newline$ $y = \frac{x + 10}{5}$
Simplify Inverse Function: Simplify the inverse function if necessary. $\newline$ $y = \frac{1}{5}x + 2$ $\newline$ This is the inverse function in slope-intercept form.