Need some precal help please.?

Question

i keep getting the same answer on this Precal problem, can someone help as to what im doing wrong.

here is the problem,

are the following two functions inverses?

F(x) = x + 3/2

G(x) = (½) x + 3/2

a) yes

b) no; G(x) = 2x + 3

c) no; G(x) = x – 3/2

d) no; G(x) = (1/2)x - 3

I keep coming up with c, but I don’t think that’s right.

What am I doing wrong?

Answer 1

F(x)=x+3/2

Since y=F(x), I'll write y=x+3/2

Inverse is x=y+3/2

Solve for y, y=x-3/2

So F^-1(x)=x-3/2

And I agree with you: c  is the answer