If f(x)=x+1 and g(x)= x^2-1 find f(g(x))?

Question

If f(x)=x+1 and g(x)= x^2-1 find f(g(x))

i have to shwo work, how would i go about this
I need g(f(x)) also

Answer 1

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

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

Answer 2

f(g(x))= so you would have (x+1)^2 - 1 and you would get x^2 +2x

g(f(x))= so you would have (x^2-1) +1 and you would get x^2

you substitued the values for g(x) and f(x) in the opposite one wherever there is an x!