Let f and g be two functions defined as f(x) = 2x + 5 \\ g(x) = {x}^(2) - 7x + 5 a) Find (f×g)(x) b)Find (f×g)(4)

Question

Let f and g be two functions defined as


`f(x) = 2x + 5 \\ g(x) = {x}^(2) - 7x + 5`
a) Find (f×g)(x)
b)Find (f×g)(4)

Answer 1

negative 91

Explanation:

Answer 2

`a) \: (f * g)(x) = (2x + 5)( {x}^(2) - 7x + 5) \\ b) \: (f * g)(4) = (2 * 4 + 5)( {4}^(2) - 7 * 4 + 5) = 13( - 7) = - 91`