3 years ago

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

Mathematics

1 answer:

Stella [2.4K]3 years ago

7 0

Answer:

$\boxed{\sf x - 7}$

Given:

f(x) = - 3x - 5

g(x) = 4x - 2

To Find:

(f + g)(x)

Step-by-step explanation:

$\sf (f + g)(x) = f(x) + g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - 3x - 5 + 4x - 2 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4x - 3x - 5 - 2 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = x - 5 - 2 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = x - 7$

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