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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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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