What is the inverse of f(x)=-(3x-4)/(x-2) ?

The inverse of f(x)=-(3x-4)/(x-2) is (4+2x)/(x+3)

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inverse of f(x)=-(3x-4)/(x-2)

inverse

f (x) = - \frac{3 x - 4}{x - 2}

\frac{4 + 2 x}{x + 3}

Solution steps

y = - \frac{3 x - 4}{x - 2}

Replace

x

with

y

x = - \frac{3 y - 4}{y - 2}

Solve for

y, x = - \frac{3 y - 4}{y - 2}

\frac{4 + 2 x}{x + 3}

f (x) = 7 x - y = 21

f (x) = 3^{x} - 15

\frac{1}{x ^{2} - 7 x + 10}

f (x) = \frac{1}{x - 4}

What is the inverse of f(x)=-(3x-4)/(x-2) ?
The inverse of f(x)=-(3x-4)/(x-2) is (4+2x)/(x+3)