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

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

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inverse of f(t)=(3t-4)/(t-5)

inverse

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

\frac{- 4 + 5 t}{t - 3}

Solution steps

y = \frac{3 t - 4}{t - 5}

Replace

t

with

y

t = \frac{3 y - 4}{y - 5}

Solve for

y, t = \frac{3 y - 4}{y - 5}

\frac{- 4 + 5 t}{t - 3}

f (x) = 10 x - x^{2}

f (x) = x - 0.005 x^{2}

f (x) = 0.5 x - 3

f (x) = - 2 (3 x + 1) + 4

4 - x

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