Question

Given that f(x) = x2 + 8x + 15 and g(x) = x + 5, find f(x) · g(x) and express

Answer 1

The result of $f(x) \times g(x)$ is $x^3 + 13x^2+ 55x+ 75$

Composite functions

Composite functions are functions that are gotten by combining multiple functions

The functions

The functions are given as:

$f(x) = x^2 + 8x + 15$

$g(x) = x+5$

To calculate f(x) * g(x), we have:

$f(x) \times g(x) = [x^2 + 8x + 15] \times [x + 5]$

Expand the above expression

$f(x) \times g(x) = x^3 + 8x^2 + 15x + 5x^2 + 40x + 75$

Collect like terms

$f(x) \times g(x) = x^3 + 8x^2 + 5x^2+ 15x + 40x + 75$

Evaluate the like terms

$f(x) \times g(x) = x^3 + 13x^2+ 55x+ 75$

Hence, the result of $f(x) \times g(x)$ is $x^3 + 13x^2+ 55x+ 75$

Read more about composite functions at:

brainly.com/question/10687170