What is the inverse of f(x)=(7x+3)/8 x-5 ?

The inverse of f(x)=(7x+3)/8 x-5 is (-3+sqrt(224x+1129))/(14),(-3-sqrt(224x+1129))/(14)

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inverse of f(x)=(7x+3)/8 x-5

inverse

f (x) = \frac{7 x + 3}{8} x - 5

\frac{- 3 + 224 x + 1129}{14}, \frac{- 3 - 224 x + 1129}{14}

Solution steps

y = \frac{7 x + 3}{8} x - 5

Replace

x

with

y

x = \frac{7 y + 3}{8} y - 5

Solve for

y, x = \frac{7 y + 3}{8} y - 5

\frac{- 3 + 224 x + 1129}{14}, \frac{- 3 - 224 x + 1129}{14}

f (x) = 4 n - 20

f (x) = 4 n - 25

f (x) = 3 x + 2 - 1

f (x) = - ln (x^{4})

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

What is the inverse of f(x)=(7x+3)/8 x-5 ?
The inverse of f(x)=(7x+3)/8 x-5 is (-3+sqrt(224x+1129))/(14),(-3-sqrt(224x+1129))/(14)