Find the inverse function in slope-intercept form (mx+b) : f(x)=5x-15 Answer: f^(-1)(x)=

Understand Inverse Function: Understand the concept of an inverse function. An inverse function essentially 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 make the equation easier to work with. y = 5x - 15Swap x and y: Swap x and y to find the inverse function. x = 5y - 15Solve for y: Solve for y in terms of x. Add 15 to both sides of the equation to isolate the term with y on one side. x + 15 = 5yDivide and Solve: Divide both sides by 5 to solve for y. y = (x + 15) / 5Write in Slope-Intercept Form: Write the inverse function in slope-intercept form. f^(-1)(x) = (1/5)x + 3

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

f(x)=5x-15
Answer:
f^(-1)(x)=

Find the inverse function in slope-intercept form $(\mathrm{mx}+\mathrm{b})$ : $\newline$ $f(x)=5 x-15$ $\newline$ 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-15

\newline

Answer:

f^{-1}(x)=

Understand Inverse Function: Understand the concept of an inverse function. An inverse function essentially 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 make the equation easier to work with. $\newline$ $y = 5x - 15$
Swap x and y: Swap x and y to find the inverse function. $\newline$ $x = 5y - 15$
Solve for y: Solve for y in terms of x. $\newline$ Add $15$ to both sides of the equation to isolate the term with $y$ on one side. $\newline$ $x + 15 = 5y$
Divide and Solve: Divide both sides by $5$ to solve for $y$ . $y = \frac{x + 15}{5}$
Write in Slope-Intercept Form: Write the inverse function in slope-intercept form. $\newline$ $f^{-1}(x) = \frac{1}{5}x + 3$