Question

Invert Linear functions. Find the inverse function in slope-intercept form (mx+b):f(x) = -x + 15Answer: f-(x) =

Answer 1

hello

the question given is to find the inverse of a function

$f(x)=-x+15$

the inverse of the function is

$\begin{gathered} f(x)=y \\ \end{gathered}$

step 1

replace every f(x) with y just like we've done above

step 2

replace every y with x and x with y in the equation

$\begin{gathered} y=-x+15 \\ x=-y+15 \end{gathered}$

step 3

solve for y

$\begin{gathered} x=-y+15 \\ y=-x+15 \end{gathered}$

step 4

replace every y with f^-1(x)

$\begin{gathered} y=-x+15 \\ f^{-1}(x)=-x+15 \end{gathered}$

the inverse of the function is f^-1(x) = -x + 15