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

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

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

inverse

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) = 1 + 3^{x}

f (x) = \frac{x + 4}{x + 12}

f (x) = \frac{x + 4}{x + 14}

y = \frac{x ^{2}}{x ^{2} + 1}

f (x) = \frac{5 x + 1}{2 x + 3}

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