Question

Given that f(x)=x^2−9x and g(x)=x−3, calculate (f∘g)(x) or f(g(x))

A) x^2-12x+27
B) x^2-12x+36
C) x^2-6x+9
D) x^2-6x+27

Answer 1

To calculate (f∘g)(x) or f(g(x)), substitute g(x) into the function f(x) and simplify the expression.

Step-by-step explanation:

To calculate (f∘g)(x) or f(g(x)), we need to substitute g(x) into the function f(x). First, let's find g(x): g(x) = x - 3. Now we substitute g(x) = x - 3 into f(x): f(g(x)) = (x - 3)^2 - 9(x - 3).

Expanding the equation, we have f(g(x)) = x^2 - 6x + 9 - 9x + 27. Simplifying further, we get f(g(x)) = x^2 - 15x + 36.

Therefore, the correct option is B) x^2-12x+36.