Question

If f(g(x))=x and f(x) = 3x – 4, find g(x)

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

Answer 1

@satellite73

Answer 2

i am going to assume G is the inverse function of F(x)
so to find the inverse function

let f(x)= y

so you get
y=3x-4

to get the inverse function you want to make x the subject

add 4 to both sides

y+4=3x
divide by 3 on both sides

(y+4)/3=x

now let x=g(x)
let y=x

(x+4)/3=g(x)