What is the inverse of f(x)=(7+2x)/(9-5x) ?

The inverse of f(x)=(7+2x)/(9-5x) is -(7-9x)/(2+5x)

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inverse of f(x)=(7+2x)/(9-5x)

inverse

f (x) = \frac{7 + 2 x}{9 - 5 x}

- \frac{7 - 9 x}{2 + 5 x}

Solution steps

y = \frac{7 + 2 x}{9 - 5 x}

Replace

x

with

y

x = \frac{7 + 2 y}{9 - 5 y}

Solve for

y, x = \frac{7 + 2 y}{9 - 5 y}

- \frac{7 - 9 x}{2 + 5 x}

f (x) = \frac{3 x ^{2}}{x ^{2} - 16}

f (x) = \frac{2 x}{x ^{2} + 81}

f (x) = - 3 x^{2} + 5

f (x) = lo g_{5} (x - 1)

f (x) = 5 csc (x)

What is the inverse of f(x)=(7+2x)/(9-5x) ?
The inverse of f(x)=(7+2x)/(9-5x) is -(7-9x)/(2+5x)