Question

Given that f(x) = −x + 4 and g(x) = −2x − 3, solve for f(g(x)) when x = 2

Answer 1

f(x) = −x + 4 -> f(g(x))= −(−2x−3) + 4 = 2x + 3 + 4 = 2x+7

f(g(2))= 2(2) +7

Answer 2

g(2) = -2(2)-3
g(2) = -4-3
g(2) = -7
f(g(2)) =f(-7)
f(-7) = -(-7)+4
f(-7) = 7+4
f(-7) = 11