Find the inverse of the given function. f(x)= -1/2sqr x+3, x greater than or equal to -3

So, the inverse of function

is

Step-by-step explanation:

We need to find the inverse of the given function

To find the inverse we replace f(x) with y

Now, replacing x with y and y with x

Now, we will find the value of y in the above equation

Multiplying both sides by -2

Taking square on both sides

Finding value of y

Replacing y with f⁻¹(x)

So, the inverse of function

is

ANSWER

EXPLANATION

A function will have an inverse if and only if it is a one-to-one function.

The given function is

To find the inverse of this function, we let

Next, we interchange x and y to get,

We now solve for y.

We must clear the fraction by multiplying through with -2 to get;

Square both sides of the equation to get:

Add -3 to both sides

Or

This implies that,

This is valid if and only if

its a little blurry tbh

step-by-step explanation:

its 8

step-by-step explanation: