Question

verify if F and C are inverse Function

Answer 1

Answer:

Finding the Inverse of a Function

First, replace f(x) with y . ...

Replace every x with a y and replace every y with an x .

Solve the equation from Step 2 for y . ...

Replace y with f−1(x) f − 1 ( x ) . ...

Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true

Answer 2

Verify two functions are inverse function:

Step-by-step explanation:

• Suppose we have two functions , namely f(x) = Fand g(x)= C.

• Plug or put C into F ,then simplify.

                         f[g(x)]=x

• If this is true , then we move further,

• If not, we can say F and C are not inverse.

• Now Plug or put F into C ,then simplify.

                        g[f(x)]=x

• If this is true , then we move further,

• If not, we can say F and C are not inverse.

• Thus all these steps are neccessary to know that F and C are inverse of each other or not.