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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

cos (\frac{1}{10})

\frac{7 x - 3}{9 x + 4}

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

ln (- 1.0697)

f (x) = - 2 - 5 x

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