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

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

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

inverse

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

\frac{- 7 - 3 x}{2 ( - 2 + x )}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 7 - 3 x}{2 ( - 2 + x )}

f (x) = \frac{x ^{2}}{300}

f (x) = f (x) = \frac{3 x + 3}{- 4 x - 10}

f (x) = \frac{( x + 4 )}{x + 8}

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

g (x) = 6^{x}

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