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

The inverse of f(x)=((x+2))/(3x-4) is (2+4x)/(3x-1)

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

inverse

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

\frac{2 + 4 x}{3 x - 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{2 + 4 x}{3 x - 1}

f (x) = \frac{6}{1 + x ^{2}}

f (x) = \frac{2 x}{2 x + 3}

\frac{1}{x} - 3

\frac{x ^{2} - 4}{x - 1}

f (x) = \frac{1}{x ^{5}}

What is the inverse of f(x)=((x+2))/(3x-4) ?
The inverse of f(x)=((x+2))/(3x-4) is (2+4x)/(3x-1)