What is the inverse of f(x)=5+sqrt(3x-4) ?

The inverse of f(x)=5+sqrt(3x-4) is (x^2-10x+29)/3

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inverse of f(x)=5+sqrt(3x-4)

inverse

f (x) = 5 + 3 x - 4

\frac{x ^{2} - 10 x + 29}{3}

Solution steps

y = 5 + 3 x - 4

Replace

x

with

y

x = 5 + 3 y - 4

Solve for

y, x = 5 + 3 y - 4

\frac{x ^{2} - 10 x + 29}{3}

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

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

5 + 2^{x + 1}

1110

8 + x^{2}

What is the inverse of f(x)=5+sqrt(3x-4) ?
The inverse of f(x)=5+sqrt(3x-4) is (x^2-10x+29)/3