Question

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

a) x2 – 13x + 46

b)x2 – 11x + 34

c) x2 – 2x – 2

d)x2 – x – 2

Answer 1

g(f(x)) means replace every x in the function g with the function f(x)

Answer 2

so you get (x-6)^2 - (x-6) +4
expands into x^2 -12x +36 - x + 6 +4
simplified: x^2 -13x +46