Question

If f(x) = x2 -2 and g(x) - x-3, what is(fºg)(x)?

Answer 1

9514 1404 393

Answer:

  f(g(x)) = x^2 -6x +7

Step-by-step explanation:

Substitute g(x) as the argument for f(x) and simplify.

  f(g(x)) = f(x -3) = (x -3)^2 -2

  f(g(x)) = x^2 -6x +9 -2

  f(g(x)) = x^2 -6x +7