Question

Let f(x) = x 7 and g(x) = x − 4. find f(x) ⋅ g(x). x2 − 3x − 28 x2 − 3x − 11 x2 3x − 28 x2 3x − 11

Answer 1

(x + 7)(x - 4) = x^2 - 4x + 7x - 28 = x^2 + 3x - 28

Answer 2

Option C is correct

`x^2+3x-28`

Explanation:

Given the function:

`f(x) = x+7` and
`g(x) = x-4`

we have to find the
`f(x) \cdot g(x)`

`f(x) \cdot g(x)`

⇒
`(x+7) \cdot (x+4)`

Distribute the first term of the first expression to the second expression and second term of the first expression to the second expression.

⇒
`x(x-4)+7(x-4)`

Using distributive property:
`a\cdot(b+c) = a\cdot b+ a\cdot c`

`x^2-4x+7x-28`

Combine like terms;

`x^2+3x-28`

Therefore,
`f(x) \cdot g(x)` we get,
`x^2+3x-28`