What is the inverse of f(x)=6sqrt(x+7)-9 ?

The inverse of f(x)=6sqrt(x+7)-9 is -19/4+(x^2)/(36)+x/2

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inverse of f(x)=6sqrt(x+7)-9

inverse

f (x) = 6 x + 7 - 9

- \frac{19}{4} + \frac{x ^{2}}{36} + \frac{x}{2}

Solution steps

y = 6 x + 7 - 9

Replace

x

with

y

x = 6 y + 7 - 9

Solve for

y, x = 6 y + 7 - 9

- \frac{19}{4} + \frac{x ^{2}}{36} + \frac{x}{2}

f (x) = 49 - x^{2}

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

f (x) = x^{2} - 5 x - 6

f (x) = 10 - 2 x^{\frac{1}{2}}

f (x) = 9 x^{4}

What is the inverse of f(x)=6sqrt(x+7)-9 ?
The inverse of f(x)=6sqrt(x+7)-9 is -19/4+(x^2)/(36)+x/2