What is the inverse of f(x)=((3-4x))/(8x-1) ?

The inverse of f(x)=((3-4x))/(8x-1) is (3+x)/(4(1+2x))

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inverse of f(x)=((3-4x))/(8x-1)

inverse

f (x) = \frac{( 3 - 4 x )}{8 x - 1}

\frac{3 + x}{4 ( 1 + 2 x )}

Solution steps

y = \frac{3 - 4 x}{8 x - 1}

Replace

x

with

y

x = \frac{3 - 4 y}{8 y - 1}

Solve for

y, x = \frac{3 - 4 y}{8 y - 1}

\frac{3 + x}{4 ( 1 + 2 x )}

f (x) = 4 n + 31.5

f (x) = sin (x) - 5

f (x) = 8 x + 17

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

What is the inverse of f(x)=((3-4x))/(8x-1) ?
The inverse of f(x)=((3-4x))/(8x-1) is (3+x)/(4(1+2x))