Question

If f(x) = −5x − 4 and g(x) = -3x - 2, find (f+ g)(x).

Answer 1

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

Explanation:

We are given the two functions:

`\displaystyle f(x) = -5x - 4 \text{ and } g(x) = -3x - 2`

And we want to find:

`(f+g)(x)`

Recall that this is equivalent to:

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

Substitute and simplify:

`\displaystyle \begin{aligned} (f+g)(x) &= (-5x-4)+(-3x-2) \\ \\ &= -8x-6 \end{aligned}`

In conclusion:

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