What is the inverse of f(x)=sqrt(6x)+24 ?

The inverse of f(x)=sqrt(6x)+24 is (x^2-48x+576)/6

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inverse of f(x)=sqrt(6x)+24

inverse

f (x) = 6 x + 24

\frac{x ^{2} - 48 x + 576}{6}

Solution steps

y = 6 x + 24

Replace

x

with

y

x = 6 y + 24

Solve for

y, x = 6 y + 24

\frac{x ^{2} - 48 x + 576}{6}

f (x) = 7 b + x + 49 b^{2}

f (x) = \frac{2 x + 3}{4 - x}

f (x) = \frac{3 x}{5 x - 6}

f (x) = 15 x^{3} - 15

f (x) = (9 - x^{2})^{\frac{1}{2}}

What is the inverse of f(x)=sqrt(6x)+24 ?
The inverse of f(x)=sqrt(6x)+24 is (x^2-48x+576)/6