What is the inverse of f(x)=6sqrt(x+8)-5,x>=-8 ?

The inverse of f(x)=6sqrt(x+8)-5,x>=-8 is (x^2+25)/(36)+(5x)/(18)-8

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inverse of f(x)=6sqrt(x+8)-5,x>=-8

inverse

f (x) = 6 x + 8 - 5, x \geq - 8

\frac{x ^{2} + 25}{36} + \frac{5 x}{18} - 8

Solution steps

y = 6 x + 8 - 5

Replace

x

with

y

x = 6 y + 8 - 5

Solve for

y, x = 6 y + 8 - 5

\frac{x ^{2} + 25}{36} + \frac{5 x}{18} - 8

y = 6 (x^{- \frac{1}{4}})

f (x) = \frac{5 x - 1}{4 x + 7}

f (x) = \frac{8}{y + 3}

f (x) = - 2 x + 1 - 5

c^{23}

What is the inverse of f(x)=6sqrt(x+8)-5,x>=-8 ?
The inverse of f(x)=6sqrt(x+8)-5,x>=-8 is (x^2+25)/(36)+(5x)/(18)-8