Question

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

Answer 1

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.