Question

Perform the requested operation or operations.

f(x) = 4x + 7, g(x) = 3x2

Find (f + g)(x).

Answer 1

(f+g)(x) = f(x)+g(x)
4x+7 + 3x^2
(f+g)(x)= 3x²+4x+7

Answer 2

After performing the requested operation you will get
`(f+g)(x)=3x^2+4x+7`.

Explanation:

It is very important to take into account that the expression
`(f+g)(x)` is another way of writing the sum of two functions. It means that the expression
`(f+g)(x)` equals the expression
`f(x)+g(x)`.

`(f+g)(x)=f(x)+g(x)`

Now, it's time to replace the expressions of
`f(x)` and
`g(x)` into the previous equation.

`(f+g)(x)=f(x)+g(x)`

`(f+g)(x)=(4x+7)+(3x^2)`

`(f+g)(x)=3x^2+4x+7`

Finally, after performing the requested operation you will get
`(f+g)(x)=3x^2+4x+7`.