Question

If g(f) the inverse of

) and fx) = 4x + 12 what is g(x)?
g(x) - 12x + 4
og(x) - x-12
g(x) = x-3
g(x) -
x-3
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Answer 1

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

Explanation:

we have

`f(x)=4x+12`

Find the inverse

Let

y=f(x)

`y=4x+12`

Exchange the variables (x for y and y for x)

`x=4y+12`

Isolate he variable y

subtract 12 both sides

`4y=x-12`

divide by 4 both sides

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

Let

g(x)=y

`g(x)=(x)/(4)-3` ---> inverse of the function f(x)