Given f(x)=x^2-1 and g(x)=1/(x-1), the composition f(g(x)) is...

Question

a. [(1/(x-1))^2]-1
b. (1/(x-1))-1
c. 1/((x^2)-2)
d. 1/(x^2)

Answer 1

Given: F(x) = x^2 - 1; g(x) = 1/(x-1).

F(g(x))=F(1/(x-1)) = (1/(x-1))^2 - 1.

Answer = a.