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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{8 x}{7 x - 4}

2 z^{- 1} + 3 - z

\frac{5}{x - 4}

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

f (x) = 0. 5^{x} + 1

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