Respuesta :
the function f(x) = 4(x+3) − 5
Lets find the inverse function f^-1(x)
step 1: Replace f(x) with y
y = 4(x+3) − 5
step 2: Replace x with y and y with x
x = 4(y+3) - 5
step 3: Solve for y
x = 4(y+3) - 5
x = 4y +12 -5
x= 4y + 7 (subtract 7 on both sides)
x - 7 = 4y (divide by 4 on both sides)
[tex]\frac{x-7}{4}=y[/tex]
[tex]f^{-1}(x)=\frac{x-7}{4}[/tex]
Given : x = 3
We plug in 3 for x in the inverse function
[tex]f^{-1}(x)=\frac{3-7}{4}[/tex] = -1
the inverse function when x = 3 is -1
