Given f(x) = cos(x) and g(x) = x2-1, find f(g(1)).

Question

Given f(x) = cos(x) and g(x) = x²-1, find f(g(1)).

A.0

B.-1

C.1

D.No solution

Answer 1

Problem:

Given f(x) = cos(x) and g(x) = x²-1, find f(g(1)).

Solution:

f(g(x)) = cos(x² - 1)

f(g(1)) = cos(1² - 1) = cos(0) = 1

The answer is C.