Consider the functions f and g where f(x) = − 3x - 5 and g x( ) = x - 2 . find the inverse function, f ^−1.

Inorder to find the inverse of any fuction

Suppose f(x)= x and x=y

X=-3y-5

Now try making y the subject of the equation.

(X+5)÷(-3) =y

Now

Y is the inverse of function of f(x)

3rd step.

Step-by-step explanation:

The additive identity for the set of real numbers is 0. The additive identity property is defined as:

For any Real Number a,

a + 0 = 0 + a = a

This means, addition of 0 to any real number leaves it unchanged.

Looking at the given problem, we can see that in going from step 3 to step 4, the additive identity property is used as:

0 + 73 = 73 + 0 = 73

Therefore, 3rd step uses the additive identity to get to the next step.