Question

Let f(x)=4x^2+13x-12 and g(x)=x+4. Perform the function operation F•g(x) Please help!!!

Answer 1

Answer: 4x³+29x²+40x-48

Step-by-step explanation:

The product of two functions=f(x)·g(x)=fg(x)

Use FOIL method to simplify expression.

• First
• Outer
• Inner
• Later

 f(x)·g(x)

=(4x²+13x-12)·(x+4)

=4x³+16x²+13x²+52x-12x-48

=4x³+29x²+40x-48

Answer 2

Answer: 4x³+29x²+40x-48

Step-by-step explanation:

To solve f(x)·g(x), you multiply them together.

(4x²+13x-12)(x+4)                           [distribute by FOIL]

4x³+16x²+13x²+52x-12x-48          [combine like terms]

4x³+29x²+40x-48

Now, we know that f(x)·g(x)=4x³+29x²+40x-48.