A function problem.

Algebra Level 3

If f(x-3)/(5-x) = 3x-2, find f(9).


The answer is -238.

Brian Dela Torre by Brian Dela Torre , 35, Philippines

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1 solution

Brian Dela Torre
Sep 9, 2015

First find the inverse of f(x-3)/(5-x). then the inverse is (5x + 3)/(x + 1) then substitute this term to x in (3x-2) then the function will be f(x) = (13x+7)/(x+1) upon solving,
f(9) = [13(9)+7]/(9+1)]
f(9) = 12.4

0 Helpful 0 Interesting 0 Brilliant 0 Confused

That is not what your question states. Your problem states that f ( x − 3 ) 5 − x = 3 x − 2 \frac{ f ( x-3) } { 5-x} = 3x-2 . You seem to be claiming that f ( x − 3 5 − x ) = 3 x − 2 f ( \frac{ x-3}{5-x} ) = 3x-2

Calvin Lin Staff - 5 years, 8 months ago

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