Question

F(x) = 4x+3x
g(x) = 2x-5
7. Find (f+9) (x)
8. Find (f - g) (x)

Answer 1

7.
`(f+g)(x) = 6x - 2`

8.
`(f-g)(x) = 2x + 8`

Explanation:

We are given two function, f(x) and g(x).

We want to find their addition and their subtraction, and we do this combining like terms.

The functions are:

`f(x) = 4x + 3`

`g(x) = 2x - 5`

7. Find (f+9) (x)

`4x + 3 + 2x - 5 = 4x + 2x + 3 - 5 = 6x - 2`

So

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

8. Find (f - g) (x)

`4x + 3 - (2x - 5) = 4x + 3 - 2x + 5 = 4x - 2x + 3 + 5 = 2x + 8`

So

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