SOLUTION: Find the inverse of each function, if it exists. Show work and circle answer f(x)=6x + 11

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Question 864893: Find the inverse of each function, if it exists. Show work and circle answer
f(x)=6x + 11
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Basic Idea:

Step 1) Replace f(x) with y
Step 2) Swap x and y
Step 3) Solve for y


f%28x%29=6x+%2B+11


y=6x+%2B+11 Applying step 1


x=6y+%2B+11 Applying step 2


Now the remainder of the work shown below is doing step 3 (solving for y)


x-11=6y


6y=x-11


y=%28x-11%29%2F6


Finally, we replace 'y' with the inverse function symbol to be as formal as possible. The final answer is

f^{-1}(x) = \frac{x-11}{6}