Question

If g (x) is the inverse of f (x) and f (x) = 4 x + 12, what is g (x)

g (x) = 12 x + 4
g (x) = one-fourth x minus 12
g (x) = x minus 3
g (x) = one-fourth x minus

Answer 1

g(x)=1/4x-3 is what i got

Answer 2

`g(x) = (1)/(4) x - 3`

Explanation:

Since g(x) is the inverse of f (x) to find g(x) must first find f-¹(x)

To find f-¹(x) equate f(x) to y

That's

f(x) = y

y = 4x + 12

Next interchange the terms x becomes y and y becomes x

That's

x = 4y + 12

Next make y the subject

4y = x - 12

Divide both sides by 4

`y = (1)/(4) x - 3`

Therefore

`g(x) = (1)/(4) x - 3`

Hope this helps you