What is the inverse of f(x)=sqrt(4+3x^3) ?

The inverse of f(x)=sqrt(4+3x^3) is cube root of (x^2-4)/3

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inverse of f(x)=sqrt(4+3x^3)

inverse

f (x) = 4 + 3 x^{3}

Solution steps

y = 4 + 3 x^{3}

Replace

x

with

y

x = 4 + 3 y^{3}

Solve for

y, x = 4 + 3 y^{3}

f (4) = - 6 x + 7

h (x) = (- 10 x + 17)^{2}, x \leq \frac{17}{10}

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

ln (x - 5) + 3

What is the inverse of f(x)=sqrt(4+3x^3) ?
The inverse of f(x)=sqrt(4+3x^3) is cube root of (x^2-4)/3