Question

For `f(x) = 2x+1` and `g(x) = x^2-7`, what is `(f*g)(2)`?

Answer 1

A function multiplication is found by multiplying the functions:

`(f * g)(x) = (2x + 1)(x^2 - 7) = 2x^3 + x^2 - 14x - 7`

Now, by function notation, just substitute `2` for `x`.

`(f * g)(x) = 2(2)^3 + 2^2 - 14(2) - 7 = 16 + 4 - 28 - 7 = -15`

Hopefully this helps!