Question

PLEASE HELP!! I'm stuck.

Which function describes each element of the range to be equal to four less than the square root of its domain?

A. f(x)=4−x√

B. f(x)=4−x2

C. f(x)=x2−4

D. f(x)==x√−4

Answer 1

D.
`f(x)=√(x)-4`

Explanation:

Given:

Range is 4 less than square root of domain.

An element of domain is given by the variable 'x'.

An element of range is given by the variable 'y' or
`f(x)`.

Now, an element of range is 4 less than the square root of the element of domain.

So, square root of element of domain is given as:

`√(x)`

Subtracting 4 from this will give us the element of the range of the given function.

So,
`f(x)=√(x)-4`

Therefore, the last choice (D) is the answer.