What is the inverse of f(x)=((5x)/9)-(160/9) ?

The inverse of f(x)=((5x)/9)-(160/9) is (9x+160)/5

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inverse of f(x)=((5x)/9)-(160/9)

inverse

f (x) = (\frac{5 x}{9}) - (\frac{160}{9})

\frac{9 x + 160}{5}

Solution steps

y = \frac{5 x}{9} - \frac{160}{9}

Replace

x

with

y

x = \frac{5 y}{9} - \frac{160}{9}

Solve for

y, x = \frac{5 y}{9} - \frac{160}{9}

\frac{9 x + 160}{5}

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

f (x) = 2 - 5 x - 3 - 2

f (x) = \frac{13}{x} + 7

y = 3 e^{2 x}

f (x) = - x^{2} + 3, x \geq 0

What is the inverse of f(x)=((5x)/9)-(160/9) ?
The inverse of f(x)=((5x)/9)-(160/9) is (9x+160)/5