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}

4 - x

f (x) = 0.5 x + 6

8 P^{3}

2 x - 0.5 x^{2} - 1

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

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)