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{2 ^{x}}{2 ^{x} + 1}

f (x) = \frac{- 3 x - 11}{2 x - 8}

f (x) = (x^{3} + 25)

f (x) = 6 x + 7 - 9

f (x) = 49 - x^{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)