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

Answer:

Option C is correct

$x^2+3x-28$

Step-by-step 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, $x^2+3x-28$

Answer 2

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