What is the inverse of f(x)=(5x-14)/(x-3) ?

The inverse of f(x)=(5x-14)/(x-3) is (-14+3x)/(x-5)

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inverse of f(x)=(5x-14)/(x-3)

inverse

f (x) = \frac{5 x - 14}{x - 3}

\frac{- 14 + 3 x}{x - 5}

Solution steps

y = \frac{5 x - 14}{x - 3}

Replace

x

with

y

x = \frac{5 y - 14}{y - 3}

Solve for

y, x = \frac{5 y - 14}{y - 3}

\frac{- 14 + 3 x}{x - 5}

y = 2 1 + 3 x - 1

23 - 230

\frac{x - 2}{5 x + 3}

f (x) = \frac{x}{9 x + 8}

f (x) = 1 + cos (sin (x)) = y

What is the inverse of f(x)=(5x-14)/(x-3) ?
The inverse of f(x)=(5x-14)/(x-3) is (-14+3x)/(x-5)