What is the inverse of f(x)=((-3x+5))/(7x+4) ?

The inverse of f(x)=((-3x+5))/(7x+4) is (5-4x)/(7x+3)

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inverse of f(x)=((-3x+5))/(7x+4)

inverse

f (x) = \frac{( - 3 x + 5 )}{7 x + 4}

\frac{5 - 4 x}{7 x + 3}

Solution steps

y = \frac{- 3 x + 5}{7 x + 4}

Replace

x

with

y

x = \frac{- 3 y + 5}{7 y + 4}

Solve for

y, x = \frac{- 3 y + 5}{7 y + 4}

\frac{5 - 4 x}{7 x + 3}

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

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

f (x) = \frac{x ^{2} + 5 x - 14}{x ^{2} - 4}

f (x) = x + 3 - 2

(x + 1)^{2}

What is the inverse of f(x)=((-3x+5))/(7x+4) ?
The inverse of f(x)=((-3x+5))/(7x+4) is (5-4x)/(7x+3)