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

The inverse of f(x)=(x+5)/(2-7x) is -(5-2x)/(1+7x)

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

inverse

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

- \frac{5 - 2 x}{1 + 7 x}

Solution steps

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

Replace

x

with

y

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

Solve for

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

- \frac{5 - 2 x}{1 + 7 x}

y = lo g_{10} (a) \frac{1}{x}

f (x) = ln (4 + ln (x))

2^{5 x + 1} - 1

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

f (x) = 1 - \frac{1}{0.15 \cdot 223696201}

What is the inverse of f(x)=(x+5)/(2-7x) ?
The inverse of f(x)=(x+5)/(2-7x) is -(5-2x)/(1+7x)