What is the inverse of f(x)=((3x+4))/(2x-6) ?

The inverse of f(x)=((3x+4))/(2x-6) is (4+6x)/(2x-3)

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inverse of f(x)=((3x+4))/(2x-6)

inverse

f (x) = \frac{( 3 x + 4 )}{2 x - 6}

\frac{4 + 6 x}{2 x - 3}

Solution steps

y = \frac{3 x + 4}{2 x - 6}

Replace

x

with

y

x = \frac{3 y + 4}{2 y - 6}

Solve for

y, x = \frac{3 y + 4}{2 y - 6}

\frac{4 + 6 x}{2 x - 3}

f (x) = 12 - 6 x^{3}

3 lo g_{6} (x)

5 ln (x)

tan (3)

f (x) = \frac{2 x - 5}{x + 4}

What is the inverse of f(x)=((3x+4))/(2x-6) ?
The inverse of f(x)=((3x+4))/(2x-6) is (4+6x)/(2x-3)