Answered

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Given that f(x) = x2 + 8x + 15 and g(x) = x + 5, find f(x) · g(x) and express
the result in standard form.

Sagot :

MrRoyal

The result of [tex]f(x) \times g(x)[/tex] is [tex]x^3 + 13x^2+ 55x+ 75[/tex]

Composite functions

Composite functions are functions that are gotten by combining multiple functions

The 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

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