What is the inverse of f(x)=6sqrt(x+2)-15 ?

The inverse of f(x)=6sqrt(x+2)-15 is 17/4+(x^2}{36}+\frac{5x)/6

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inverse of f(x)=6sqrt(x+2)-15

inverse

f (x) = 6 x + 2 - 15

\frac{17}{4} + \frac{x ^{2}}{36} + \frac{5 x}{6}

Solution steps

y = 6 x + 2 - 15

Replace

x

with

y

x = 6 y + 2 - 15

Solve for

y, x = 6 y + 2 - 15

\frac{17}{4} + \frac{x ^{2}}{36} + \frac{5 x}{6}

f (x) = - 5 (x - 3)^{2} + 8

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

f (x) = - 6 x + 4

tan (\frac{3}{4})

f (x) = ln (x^{2} - 4) + π, x < - 2

What is the inverse of f(x)=6sqrt(x+2)-15 ?
The inverse of f(x)=6sqrt(x+2)-15 is 17/4+(x^2}{36}+\frac{5x)/6