Answer :
Answer:
The inverse of f(x) = g(x) = [tex]\frac{x - 12}{4}[/tex] .
Step-by-step explanation:
Given as :
The function f (x) = 4 x + 12
And g(x) is the inverse of function f(x)
Now ,
f (x) = 4 x + 12
Or, y = 4 x + 12
interchange the variables x and y
I.e x = 4 y + 12
Now solve for y
Or, x - 12 = 4 y
or, 4 y = x - 12
∴ y = [tex]\frac{x - 12}{4}[/tex]
So, g(x)= [tex]\frac{x - 12}{4}[/tex]
Hence The inverse of f(x) = g(x) = [tex]\frac{x - 12}{4}[/tex] . Answer