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

The inverse of f(x)=-3+3sqrt(2x+3) is (6x+x^2-18)/(18)

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inverse of f(x)=-3+3sqrt(2x+3)

inverse

f (x) = - 3 + 3 2 x + 3

\frac{6 x + x ^{2} - 18}{18}

Solution steps

y = - 3 + 3 2 x + 3

Replace

x

with

y

x = - 3 + 3 2 y + 3

Solve for

y, x = - 3 + 3 2 y + 3

\frac{6 x + x ^{2} - 18}{18}

f (x) = \frac{4 x}{6 x - 5}

6.75 x + 12

f (x) = \frac{3}{x ^{2} - 1}

f (x) = 13 x + 3

f (x) = 13 x + 8

What is the inverse of f(x)=-3+3sqrt(2x+3) ?
The inverse of f(x)=-3+3sqrt(2x+3) is (6x+x^2-18)/(18)