What is the inverse of f(x)=sqrt(6-\sqrt{3x)} ?

The inverse of f(x)=sqrt(6-\sqrt{3x)} is (36-12x^2+x^4)/3

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inverse of f(x)=sqrt(6-\sqrt{3x)}

inverse

f (x) = 6 - 3 x

\frac{36 - 12 x ^{2} + x ^{4}}{3}

Solution steps

y = 6 - 3 x

Replace

x

with

y

x = 6 - 3 y

Solve for

y, x = 6 - 3 y

\frac{36 - 12 x ^{2} + x ^{4}}{3}

f (x) = x^{3} + x^{2} - 3

8 x^{3} - 2 x

f (x) = (x - 4)^{5}

f (x) = \frac{1}{10} x - \frac{1}{4}

\frac{2 x - 2}{x + 2}

What is the inverse of f(x)=sqrt(6-\sqrt{3x)} ?
The inverse of f(x)=sqrt(6-\sqrt{3x)} is (36-12x^2+x^4)/3