What is the inverse of f(x)=(5x+7)/(4x-5) ?

The inverse of f(x)=(5x+7)/(4x-5) is (7+5x)/(4x-5)

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inverse of f(x)=(5x+7)/(4x-5)

inverse

f (x) = \frac{5 x + 7}{4 x - 5}

\frac{7 + 5 x}{4 x - 5}

Solution steps

y = \frac{5 x + 7}{4 x - 5}

Replace

x

with

y

x = \frac{5 y + 7}{4 y - 5}

Solve for

y, x = \frac{5 y + 7}{4 y - 5}

\frac{7 + 5 x}{4 x - 5}

x^{2} + 4

\frac{x}{( x + 1 ) ^{n}}

f (x) = 3 x^{3} + 5 x^{2}

f (x) = 5^{x - 3}

3 x^{2} + 5 x + 2

What is the inverse of f(x)=(5x+7)/(4x-5) ?
The inverse of f(x)=(5x+7)/(4x-5) is (7+5x)/(4x-5)