The result of [tex]f(x) \times g(x)[/tex] is [tex]x^3 + 13x^2+ 55x+ 75[/tex]
Composite functions are functions that are gotten by combining multiple functions
The functions are given as:
[tex]f(x) = x^2 + 8x + 15[/tex]
[tex]g(x) = x+5[/tex]
To calculate f(x) * g(x), we have:
[tex]f(x) \times g(x) = [x^2 + 8x + 15] \times [x + 5][/tex]
Expand the above expression
[tex]f(x) \times g(x) = x^3 + 8x^2 + 15x + 5x^2 + 40x + 75[/tex]
Collect like terms
[tex]f(x) \times g(x) = x^3 + 8x^2 + 5x^2+ 15x + 40x + 75[/tex]
Evaluate the like terms
[tex]f(x) \times g(x) = x^3 + 13x^2+ 55x+ 75[/tex]
Hence, the result of [tex]f(x) \times g(x)[/tex] is [tex]x^3 + 13x^2+ 55x+ 75[/tex]
Read more about composite functions at:
https://brainly.com/question/10687170
