What is the inverse of f(x)=((5x-7))/(-8x+1) ?

The inverse of f(x)=((5x-7))/(-8x+1) is -(-7-x)/(5+8x)

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inverse of f(x)=((5x-7))/(-8x+1)

inverse

f (x) = \frac{( 5 x - 7 )}{- 8 x + 1}

- \frac{- 7 - x}{5 + 8 x}

Solution steps

y = \frac{5 x - 7}{- 8 x + 1}

Replace

x

with

y

x = \frac{5 y - 7}{- 8 y + 1}

Solve for

y, x = \frac{5 y - 7}{- 8 y + 1}

- \frac{- 7 - x}{5 + 8 x}

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

- 2 x - 3

f (x) = \frac{2 x + 5}{x - 4}

2^{2 x - 2} + 4

f (x) = lo g_{e} (x + 2)

What is the inverse of f(x)=((5x-7))/(-8x+1) ?
The inverse of f(x)=((5x-7))/(-8x+1) is -(-7-x)/(5+8x)