Question

If f(x)=2x^2-1 and g(x)= -5x , write a function rule representing the result of each function operation.

a.) (fg)(x)

b.) (g of f)(x)

Answer 1

a.) (fg)(x) = (2x^2 - 1)(-5x) = -10x^3 + 5x

b.) (g of f)(x) = g(f(x)) = -5(2x^2 - 1) = -10x^2 + 5