Question

If (t) = t - 5 and g(m) = 3m^2 - 1, what is (f • g) (x)?

Answer 1

Since (f · g) (x) = f(x) · g(x), we need to find f(x) and g(x) first.

f(x) = x - 5

g(x) = 3x^2 - 1

Therefore, (f · g) (x) = f(x) · g(x) = (x - 5) · (3x^2 - 1)

Expanding this product, we get:

(f · g) (x) = 3x^3 - 15x^2 - x + 5

Therefore, (f · g) (x) = 3x^3 - 15x^2 - x + 5.