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Harrizon [31]
3 years ago
6

Given f(x)=4x2−5 and g(x)=x+3 . What is (fg)(x) ?

Mathematics
2 answers:
kozerog [31]3 years ago
7 0
I just took the test, it was A. 4x^3+12x^2-5x-15 :)
vova2212 [387]3 years ago
7 0

Answer:

(fg)(x)=4x^3+12x^2-5x-15

First option is correct.

Step-by-step explanation:

We have been given that

f(x)=4x^2-5

g(x)=x+3

We know that (fg)(x)=f(x)g(x)

Hence, we have to find the product of f(x) and g(x)

(fg)(x)=(4x^2-5)(x+3)

Apply distributive property

(fg)(x)=4x^2\cdot x+4x^2\cdot3-5x-5\cdot3

Simplifying, we get

(fg)(x)=4x^3+12x^2-5x-15

First option is correct.

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