What is the inverse of f(x)=(sqrt(2x+5))/4 ?

The inverse of f(x)=(sqrt(2x+5))/4 is (16x^2-5)/2

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inverse of f(x)=(sqrt(2x+5))/4

inverse

f (x) = \frac{2 x + 5}{4}

\frac{16 x ^{2} - 5}{2}

Solution steps

y = \frac{2 x + 5}{4}

Replace

x

with

y

x = \frac{2 y + 5}{4}

Solve for

y, x = \frac{2 y + 5}{4}

\frac{16 x ^{2} - 5}{2}

(7 - 14 x)^{\frac{1}{2}}

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

x^{2} + 3 x - 2

f (x) = 2 x^{2} - 7 x + 11

y = \frac{x + 8}{x - 2}

What is the inverse of f(x)=(sqrt(2x+5))/4 ?
The inverse of f(x)=(sqrt(2x+5))/4 is (16x^2-5)/2