What is the inverse of f(x)=(sqrt(2x-3))/5 ?

The inverse of f(x)=(sqrt(2x-3))/5 is (25x^2+3)/2

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inverse of f(x)=(sqrt(2x-3))/5

inverse

f (x) = \frac{2 x - 3}{5}

\frac{25 x ^{2} + 3}{2}

Solution steps

y = \frac{2 x - 3}{5}

Replace

x

with

y

x = \frac{2 y - 3}{5}

Solve for

y, x = \frac{2 y - 3}{5}

\frac{25 x ^{2} + 3}{2}

f (x) = e^{2 x - 7}

f (x) = 11 x^{3} - 5

f (t) = cos (\frac{1}{2} t + \frac{π}{3}) - \frac{π}{6}

f (x) = csc (x)

ln (e^{x} - 3)

What is the inverse of f(x)=(sqrt(2x-3))/5 ?
The inverse of f(x)=(sqrt(2x-3))/5 is (25x^2+3)/2