What is the inverse of f(x)=2sqrt((3x+1))+4 ?

The inverse of f(x)=2sqrt((3x+1))+4 is (-8x+x^2+12)/(12)

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inverse of f(x)=2sqrt((3x+1))+4

inverse

f (x) = 2 (3 x + 1) + 4

\frac{- 8 x + x ^{2} + 12}{12}

Solution steps

y = 2 3 x + 1 + 4

Replace

x

with

y

x = 2 3 y + 1 + 4

Solve for

y, x = 2 3 y + 1 + 4

\frac{- 8 x + x ^{2} + 12}{12}

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

f (x) = \frac{1}{4} (x + 3)^{2} - 2

\frac{2 x - 3}{3 x - 1}

f (x) = 2 π r^{2} + 12 π r

f (x) = - (x - 5)^{2}

What is the inverse of f(x)=2sqrt((3x+1))+4 ?
The inverse of f(x)=2sqrt((3x+1))+4 is (-8x+x^2+12)/(12)