What is the inverse of f(x)=3sqrt(2x)-1 ?

The inverse of f(x)=3sqrt(2x)-1 is (x^2+2x+1)/(18)

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inverse of f(x)=3sqrt(2x)-1

inverse

f (x) = 3 2 x - 1

\frac{x ^{2} + 2 x + 1}{18}

Solution steps

y = 3 2 x - 1

Replace

x

with

y

x = 3 2 y - 1

Solve for

y, x = 3 2 y - 1

\frac{x ^{2} + 2 x + 1}{18}

f (x) = g (x) = 3 x - 1

f (x) = 3 lo g_{e} (1 + \frac{x}{2})

f (x) = \frac{x ^{2}}{4} + 1

10 lo g_{6} (y)

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

What is the inverse of f(x)=3sqrt(2x)-1 ?
The inverse of f(x)=3sqrt(2x)-1 is (x^2+2x+1)/(18)