SOLUTION: For the function defined by f(x)=5x-4, find the formula for f^-1(x).

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Question 93356This question is from textbook Algebra and Trigonometry
: For the function defined by f(x)=5x-4, find the formula for f^-1(x).This question is from textbook Algebra and Trigonometry

Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
Question:
For the function defined by f(x)=5x-4, find the formula for f^-1(x)

Answer:
Let us take, y = 5x - 4

Now first solve for x

that is,

y = 5x - 4

y + 4 = 5x - 4 + 4

==> y + 4 = 5x
Divide both sides by 5

==> +%28y+%2B+4+%29+%2F5+=+5x+%2F5+


==> +%28y%2F5%29+%2B+%284%2F5%29+ = x

that is ++++x+=+%28y%2F5%29+%2B+%284%2F5%29+

That is you can write f+%28inverse%28x%29%29+=+%28y%2F5%29+%2B+%284%2F5%29+
Now replace y by x

==> f+%28inverse%28x%29%29+=+%28x%2F5%29+%2B+%284%2F5%29+

Hope you found the explanation useful.


Regards.

Praseena.