SOLUTION: What function would be the inverse of f(x)=3x-6 Thank you in advance.

Question 1032450: What function would be the inverse of f(x)=3x-6
Thank you in advance.
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What function would be the inverse of f(x)=3x-6
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1st:: Interchange x and y to get:
x = 3y - 6
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2nd:: Solve for "y"::
y = (x+6)/3 = (1/3)x + 2
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Ans::y = (1/3)x + 2
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Cheers,
Stan H.
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Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Outline for finding the inverse:
Step 1) Replace f(x) with y
Step 2) Swap x and y
Step 3) Solve for y

Let's follow that outline

Start with the original equation

Replace f(x) with y (see step 1 above)

Swap x and y (see step 2 above)

Now we solve for y (step 3 above). To do this, we first add 6 to both sides to undo the subtraction of 6. Then we undo the multiplication of 3 by dividing both sides by 3.

Add 6 to both sides

Divide both sides by 3.

So the inverse function is which is the final answer.
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