What is the inverse of f(x)=((3-8x))/((4+7x)) ?

The inverse of f(x)=((3-8x))/((4+7x)) is (3-4x)/(7x+8)

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inverse of f(x)=((3-8x))/((4+7x))

inverse

f (x) = \frac{( 3 - 8 x )}{( 4 + 7 x )}

\frac{3 - 4 x}{7 x + 8}

Solution steps

y = \frac{3 - 8 x}{4 + 7 x}

Replace

x

with

y

x = \frac{3 - 8 y}{4 + 7 y}

Solve for

y, x = \frac{3 - 8 y}{4 + 7 y}

\frac{3 - 4 x}{7 x + 8}

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

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

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

f (x) = - 108.3 + 7.22 x

arctan (1)

What is the inverse of f(x)=((3-8x))/((4+7x)) ?
The inverse of f(x)=((3-8x))/((4+7x)) is (3-4x)/(7x+8)