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

The inverse of f(x)=(5-x)/(3x+4) is (5-4x)/(3x+1)

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

inverse

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

\frac{5 - 4 x}{3 x + 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{5 - 4 x}{3 x + 1}

f (x) = 2 \cdot 4^{x}

f (x) = x^{2} - 4 x + 8

f (x) = 11 x - 8

f (x) = 11 x - 7

f (x) = 11 x - 6

What is the inverse of f(x)=(5-x)/(3x+4) ?
The inverse of f(x)=(5-x)/(3x+4) is (5-4x)/(3x+1)