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F(x) = square root 32x
g(x) = square root 2x

F(x) = square root 32x g(x) = square root 2x-example-1

1 Answer

2 votes

Given:

The two functions are:


f(x)=√(32x)


g(x)=√(2x)

To find:

The
(f\cdot g)(x). Assume
x\geq 0.

Solution:

We have,


f(x)=√(32x)


g(x)=√(2x)

Now,


(f\cdot g)(x)=f(x)\cdot g(x)


(f\cdot g)(x)=√(32x)\cdot √(2x)


(f\cdot g)(x)=√(32x* 2x)


(f\cdot g)(x)=√(64x^2)


(f\cdot g)(x)=8x

Therefore, the correct option is A.

User Lior Pollak
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