Question

Let f(x) = x - 6 and g(x) = x^2 - x + 4. Find g(f(x)).

Question 10 options:
1) x2 - 13x + 46
2) x2 - 11x + 34
3) x2 - 2x - 2
4) x2 - x - 2

Answer 1

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