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

The inverse of f(x)=5+sqrt(3x-3) is (x^2-10x+28)/3

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

inverse

f (x) = 5 + 3 x - 3

\frac{x ^{2} - 10 x + 28}{3}

Solution steps

y = 5 + 3 x - 3

Replace

x

with

y

x = 5 + 3 y - 3

Solve for

y, x = 5 + 3 y - 3

\frac{x ^{2} - 10 x + 28}{3}

f (x) = x^{2} - 2 x - 6

f (x) = - \frac{x}{2}

h (x) = 2 x - 3

f (x) = lo g_{10} (\frac{2}{x + 1})

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

What is the inverse of f(x)=5+sqrt(3x-3) ?
The inverse of f(x)=5+sqrt(3x-3) is (x^2-10x+28)/3