Question

Quick doubt!
If f(x) = x^2 + 2
g(x) x/x-1

find fog and gof

So is the answer for fog:

f(g(x)) = (x/x-1) + 2

or is it
f(g(x))= (x/x-1)^2 + 2

Answer 1

well first let's see what is g(x), it's x/x-1.
imagine x/x-1 = y
ok?

Answer 2

then f(x(g(x)) would be f(y) and f(y) = y^2 + 2

Answer 3

and y = (x/x-1)

Answer 4

ok?

Answer 5

@kennybm

Answer 6

I get that but I'm confused with the power is counted or not :|

Answer 7

(x/x-1)^2+2
(x/x-1)(x/x-1)+2
x^2/x-1+2
2x^2+x-1/2x-1
(2x-1)(x+1)/(2x-1)
(x+1)

Answer 8

f(g(x)

Answer 9

ok i told you to imagine x/x-1 = y

Answer 10

in this case you won't be confused

Answer 11

isn't it better for u to understand?

Answer 12

Okay so it is