Question

Which equation is the inverse of y = 9x2 – 4? y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 9 EndFraction y = plus-or-minus StartRoot StartFraction x Over 9 EndFraction + 4 EndRoot y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 3 EndFraction y = StartFraction plus-or-minus StartRoot x EndRoot Over 3 EndFraction + two-thirds

Answer 1

Option C: $y=\pm\frac{\sqrt{x+4}}{3}$ is the inverse of the function

Explanation:

The given function is $y=9 x^{2}-4$

We need to determine the inverse of the function.

To determine the inverse of the function, we need to interchange the values of x and y and solve for y.

Let us interchange the variables x and y in the function $y=9 x^{2}-4$, we have,

$x=9 y^{2}-4$

Adding both sides of the equation by 4, we have,

$x+4=9 y^{2}$

Dividing both sides of the equation by 9, we have,

$\frac{x+4}{9} =y^2$

Switch sides, we have,

$y^2=\frac{x+4}{9}$

Taking square root on both sides of the equation, we have,

$y=\pm\frac{\sqrt{x+4}}{3}$

Thus, the inverse of the function is $y=\pm\frac{\sqrt{x+4}}{3}$

Therefore, Option C is the correct answer.

Answer 2

Answer:

A

Step-by-step explanation:

This answer is right, the one above it is wrong