What is the inverse of f(x)=((7x-4))/(2x-3) ?

The inverse of f(x)=((7x-4))/(2x-3) is (-4+3x)/(2x-7)

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inverse of f(x)=((7x-4))/(2x-3)

inverse

f (x) = \frac{( 7 x - 4 )}{2 x - 3}

\frac{- 4 + 3 x}{2 x - 7}

Solution steps

y = \frac{7 x - 4}{2 x - 3}

Replace

x

with

y

x = \frac{7 y - 4}{2 y - 3}

Solve for

y, x = \frac{7 y - 4}{2 y - 3}

\frac{- 4 + 3 x}{2 x - 7}

f (x) = (x - 1)^{4} - 1

f (x) = y - 5 = \frac{1}{2} (x + 16)^{2}

f (x) = 5 (x + 10)^{\frac{1}{3}} - 8

f (x) = \frac{( - 2 x - 5 )}{- 8 x + 5}

y = 2 x^{2} - 5 x

What is the inverse of f(x)=((7x-4))/(2x-3) ?
The inverse of f(x)=((7x-4))/(2x-3) is (-4+3x)/(2x-7)