What is the inverse of f(x)=(5x+3)/(3x-7) ?

The inverse of f(x)=(5x+3)/(3x-7) is (3+7x)/(3x-5)

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inverse of f(x)=(5x+3)/(3x-7)

inverse

f (x) = \frac{5 x + 3}{3 x - 7}

\frac{3 + 7 x}{3 x - 5}

Solution steps

y = \frac{5 x + 3}{3 x - 7}

Replace

x

with

y

x = \frac{5 y + 3}{3 y - 7}

Solve for

y, x = \frac{5 y + 3}{3 y - 7}

\frac{3 + 7 x}{3 x - 5}

\frac{8}{5 x + 7}

f (x) = x^{2} - 10 x + 24

f (x) = \frac{( 3 x + 7 )}{( 2 x - 5 )}

f (x) = x^{2} - 10 x + 21

- x + 16 - x

What is the inverse of f(x)=(5x+3)/(3x-7) ?
The inverse of f(x)=(5x+3)/(3x-7) is (3+7x)/(3x-5)