Question

If f(x)=x/4-3 and G(x)=4x^2+2x-4 find (f+g)(x) can someone do this step by step? please.

Answer 1

You are really just adding the two functions together to create a new function.

x/4 -3+4x^2+2x-4 (making everything have a common denominator of 4 we get:

(x-12+16x^2+8x-16)/4 combine like terms in numerator

(16x^2+9x+4)/4

Answer 2

The value of (f+g)(x) is
`4x^2+(9x)/(4)-7`.

Explanation:

The given functions are

`f(x)=(x)/(4)-3`

`g(x)=4x^2+2x-4`

We have to find the value of (f+g)(x).

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

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

Combine like terms.

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

`(f+g)(x)=4x^2+(x+8x)/(4)+(-7)`

`(f+g)(x)=4x^2+(9x)/(4)-7`

Therefore the value of (f+g)(x) is
`4x^2+(9x)/(4)-7`.