Question

Several questions, please help...Fan & Medal :)
Suppose that the functions f and g are defined for all real numbers as follows.

f(x)=4x^2
g(x)=3x

Write the expressions for (f*g)(x) and (f+g)(x) and evaluate (f-g)(-2).

Answer 1

what do you think

Answer 2

To evaluate (f*g)(x), we simply multiply the functions:
(f*g)(x)=f(x)*g(x)
4x^2*3x=12x^3

Answer 3

(f*g)(x) is equivalent to f(x)*g(x). These are two ways to say the same thing: multiply the functions f and g.


Here's one example

Let
f(x) = 2x^3
g(x) = 9x


(f*g)(x) = f(x)*g(x)
(f*g)(x) = 2x^3*9x
(f*g)(x) = (2*9)*(x^3*x)
(f*g)(x) = (2*9)*(x^3*x^1)
(f*g)(x) = 18*x^(3+1)
(f*g)(x) = 18*x^4


This is an example and not one of your answers. Hopefully it will help you get the answer you need.

Answer 4

the same principle applies to (f+g)(x), and (f-g)(2), except for the last one you substitute in -2

Answer 5

Thank y'all :)