Question

If f(x) =4x^2 + 1 and g(x) =x2 -5, find (f+g)(x)

Answer 1

The value of
`(f+g)(x)` is
`5 x^(2)-4`

Step-by-step explanation:

Given that the functions
`f(x)=4 x^(2)+1` and
`g(x)=x^(2)-5`

We need to determine the value of
`(f+g)(x)`

The value of
`(f+g)(x)` can be determined by substituting the value of
`f(x)` and
`g(x)` and simplifying the terms.

Thus, let us assign
`f(x)=4 x^(2)+1` in the function
`(f+g)(x)`, we have,

`4 x^(2)+1+g(x)`

Now, let us assign
`g(x)=x^(2)-5` in the function
`(f+g)(x)`, we get,

`4 x^(2)+1+x^(2)-5`

Grouping the like terms, we have,

`4 x^(2)+x^(2)+1-5`

Adding the like terms, we get,

`5 x^(2)-4`

Hence, the value of
`(f+g)(x)` is
`5 x^(2)-4`