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

The inverse of f(x)=(4x)/(sqrt(2)) is (xsqrt(2))/4

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

inverse

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

\frac{x 2}{4}

Solution steps

y = \frac{4 x}{2}

Replace

x

with

y

x = \frac{4 y}{2}

Solve for

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

\frac{x 2}{4}

f (x) = 2 x - 4

\frac{x ^{2} + 1}{x ^{2} + 5}

f (x) = \frac{( ( - 2 x - 5 ) )}{( - 8 x + 5 )}

\frac{6 x - 7}{5 x + 9}

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

What is the inverse of f(x)=(4x)/(sqrt(2)) ?
The inverse of f(x)=(4x)/(sqrt(2)) is (xsqrt(2))/4