Respuesta :
Step 1: change f(x) to y
y = 4x + 8
Step 2: switch x and y in the equation
x = 4y + 8
Step 3: solve for y
x - 8 = 4y
[tex] \frac{x}{4} -2=y[/tex]
[tex] f^{-1} (x)= \frac{x}{4}-2 [/tex]
y = 4x + 8
Step 2: switch x and y in the equation
x = 4y + 8
Step 3: solve for y
x - 8 = 4y
[tex] \frac{x}{4} -2=y[/tex]
[tex] f^{-1} (x)= \frac{x}{4}-2 [/tex]
Switch the x and y
X= 4y +8
Subtract 8 from both sides
X-8 = 4y
Divide both sides by 4
So,
f^-1(x)= x-8/4
X= 4y +8
Subtract 8 from both sides
X-8 = 4y
Divide both sides by 4
So,
f^-1(x)= x-8/4
