Question

Let f(x) = x – 6 and g(x) = x2 – x + 4. Find g(f(x)).
x2 – 13x + 46

x2 – 11x + 34

x2 – 2x – 2

x2 – x – 2

Answer 1

f(x) = x - 6
g(x) = x^2 - x + 4

g(f(x)) = (x - 6)^2 - (x - 6) + 4
= x^2 - 12x + 36 - x + 6 + 4
= x^2 - 13x + 46