What is the inverse of f(x)=(2x-7)/(3x-8) ?

The inverse of f(x)=(2x-7)/(3x-8) is (-7+8x)/(3x-2)

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inverse of f(x)=(2x-7)/(3x-8)

inverse

f (x) = \frac{2 x - 7}{3 x - 8}

\frac{- 7 + 8 x}{3 x - 2}

Solution steps

y = \frac{2 x - 7}{3 x - 8}

Replace

x

with

y

x = \frac{2 y - 7}{3 y - 8}

Solve for

y, x = \frac{2 y - 7}{3 y - 8}

\frac{- 7 + 8 x}{3 x - 2}

y = 20 (2)^{\frac{x}{100}}

\frac{1}{2} lo g_{2 x} (x)

\frac{1}{p}

f (x) = x - 1^{(\frac{1}{3})}

f (x) = 3 x + 2 - 7

What is the inverse of f(x)=(2x-7)/(3x-8) ?
The inverse of f(x)=(2x-7)/(3x-8) is (-7+8x)/(3x-2)