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Ksenya-84 [330]
3 years ago
12

If f(x)=3^x+10x and g(x)=4x-2, find (f+g)(x)

Mathematics
2 answers:
xxMikexx [17]3 years ago
4 0
Hi there!

(f + g)(x) = f(x) + g(x)

(f + g)(x) = (3ˣ + 10x) + (4x - 2)

(f + g)(x) = 3ˣ + 10x + 4x - 2

(f + g)(x) = 3ˣ + 14x - 2

~ Hope it helps!
Vikentia [17]3 years ago
3 0
Hi there!

First we need to remember the following.
(f + g)(x) = f(x) + g(x)

Now substitute both of the formulas.
(f + g)(x) = ({3}^{x} + 10x)+ (4x - 2)

Work out the parenthesis.
(f + g)(x) = {3}^{x} + 10x + 4x - 2

And finally collect terms.
(f + g)(x) = {3}^{x} + 14x - 2

~ Hope this helps you!
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