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

The inverse of f(x)=2sqrt((3x-1))+4 is (-8x+x^2+20)/(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} + 20}{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} + 20}{12}

f (x) = 2.1781 x + 25.3

f (x) = \frac{x + 9}{x - 4}

f (x) = - x + 2 + 1

f (x) = 300 (1 - \frac{2 t}{75})^{2}

F (s) = \frac{s + 1}{s ^{3} + 1}

What is the inverse of f(x)=2sqrt((3x-1))+4 ?
The inverse of f(x)=2sqrt((3x-1))+4 is (-8x+x^2+20)/(12)