Use an inverse function to write $\theta$ as a function of x.

Question

Quizplus · Accepted Answer

To reverse the function F1F1F1S1θF1F1F10, we need to undo each step in reverse order.

Step 1: F10(x) 
This means we apply the function F1F1F1S1θ to x.

Step 2: F1(x) 
This means we apply the function F1F1F1 to the output of step 1.

Step 3: F1(x) 
This means we apply the function S1 to the output of step 2.

Step 4: F1(x) 
This means we apply the function F1F1F1 to the output of step 3.

Step 5: F1(x) 
This means we apply the function F1 to the output of step 4.

So the final output is F1F1F1S1θF1F1F10(x) = F1(F1(F1(F1(F1F1F1S1θ(x))))).

Using this method, we can eliminate answer choices A, B, D, and E as they do not match the expected format of the output. The only choice that matches the expected format is C.

Use an Inverse Function to Write θ\thetaθ As a Function of X

Use an Inverse Function to Write $\theta$ As a Function of X