if-f-2x-5-x-3-3x-5-find-f-x-please-solve-it-

Question Number 97496 by shaxzod last updated on 08/Jun/20

i f f (\frac{2 x + 5}{x - 3}) = 3 x + 5 f i n d f (x)

p l e a s e s o l v e i t

Answered by bobhans last updated on 08/Jun/20

set \frac{2 x + 5}{x - 3} = z \Rightarrow xz - 3 z = 2 x + 5

xz - 2 x = 5 + 3 z \Rightarrow x = \frac{5 + 3 z}{z - 2}

f (z) = 3 (\frac{5 + 3 z}{z - 2}) + 5 \Rightarrow f (x) = \frac{15 + 9 x}{x - 2} + 5

\frac{15 + 9 x + 5 x - 10}{x - 2} = \frac{14 x + 5}{x - 2}

Commented by shaxzod last updated on 08/Jun/20

t h a n k y o u

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