What is the inverse of f(x)=7sqrt(x+7)-10 ?

The inverse of f(x)=7sqrt(x+7)-10 is (x^2+20x+100)/(49)-7

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inverse of f(x)=7sqrt(x+7)-10

inverse

f (x) = 7 x + 7 - 10

\frac{x ^{2} + 20 x + 100}{49} - 7

Solution steps

y = 7 x + 7 - 10

Replace

x

with

y

x = 7 y + 7 - 10

Solve for

y, x = 7 y + 7 - 10

\frac{x ^{2} + 20 x + 100}{49} - 7

2 x + 5 y - 1 = 0

f (x) = \frac{400000 + 100 x}{x}

f (x) = x^{4} + 4 x^{3} - 48 x^{2} + 6

y = 2 x^{2} + 4 x + 5

f (x) = - (x^{3})

What is the inverse of f(x)=7sqrt(x+7)-10 ?
The inverse of f(x)=7sqrt(x+7)-10 is (x^2+20x+100)/(49)-7