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tangare [24]
3 years ago
8

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

Mathematics
1 answer:
otez555 [7]3 years ago
5 0

Given:

The two functions are:

f(x)=\sqrt{32x}

g(x)=\sqrt{2x}

To find:

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

Solution:

We have,

f(x)=\sqrt{32x}

g(x)=\sqrt{2x}

Now,

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

(f\cdot g)(x)=\sqrt{32x}\cdot \sqrt{2x}

(f\cdot g)(x)=\sqrt{32x\times 2x}

(f\cdot g)(x)=\sqrt{64x^2}

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

Therefore, the correct option is A.

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