Question

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

Answer 1

Answer:

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

Step-by-step 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:

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