Question

If f(x) = 5x – 6 and g(x) = x2 – 4x – 8, find (f + g)(x).

A.(f + g)(x) = 6x2 – 4x – 14
B.(f + g)(x) = x2 – 9x – 2
C.(f + g)(x) = x2 – x – 2
D.(f + g)(x) = x2 + x – 14

Answer 1

Just add these like anything by combining like terms. When you do you will get
`x^(2) +x-14`

Answer 2

Answer: D.
`(f + g)(x)=x^2+ x -14`

Explanation:

The given functions :
`f(x) = 5x - 6` and
`g(x) = x^2 - 4x -8`

We know that , According to the Algebra of function , we have

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

Substitute the values of f(x) and g(x) , we get

`(f + g)(x)= 5x - 6+ x^2 - 4x -8`

Combine like terms,

`(f + g)(x)=x^2+ 5x- 4x - 6-8`

Simplify,

`(f + g)(x)=x^2+ x - (6+8)`

`(f + g)(x)=x^2+ x -14`

Hence,
`(f + g)(x)=x^2+ x -14`

Thus , the correct answer is option D.
`(f + g)(x)=x^2+ x -14`