MATH SOLVE

2 months ago

Q:
# If 8(x) is the inverse of f(x) and f(x) = 4x + 12, what is g(x)?

Accepted Solution

A:

Answer: [tex]g(x)=\frac{x-12}{4}[/tex]Step-by-step explanation:To find the inverse of y=4x+12, all you need to is swap x an y and then remake y the subject. y=4x+12Swap x and y: x=4y+12Solve for y:Subtracting 12 on both sides:x-12=4yDividing 4 on both sides:[tex]\frac{x-12}{4}=y[/tex]So [tex]g(x)=\frac{x-12}{4}[/tex]