8. A student claims that f(x) = 4x is the inverse of h(x) = -4x. Is the student correct? Justify your answer.

The student is not correct.

Step-by-step explanation:

A function h(x) is the inverse of f(x) if and only if:

We have that f(x)=4x.

And h(x)=-4x.

Let’s verify whether or not they are inverses using the above property.

So:

Therefore:

Likewise:

Then:

Since both of the compositions do not result in x, the two functions are not inverses.

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.

2nd one in the first row is correct