What is the inverse of f(x)=x^2-4x-10 ?

The inverse of f(x)=x^2-4x-10 is 2+sqrt(x+14),2-sqrt(x+14)

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inverse of f(x)=x^2-4x-10

inverse

f (x) = x^{2} - 4 x - 10

2 + x + 14, 2 - x + 14

Solution steps

y = x^{2} - 4 x - 10

Replace

x

with

y

x = y^{2} - 4 y - 10

Solve for

y, x = y^{2} - 4 y - 10

2 + x + 14, 2 - x + 14

5 x - 15

f (x) = 6 x^{3} + 3

f (x) = 6 x^{3} + 8

f (x) = - 18

f (x) = 2 (x + 4)^{\frac{1}{5}} - 6

What is the inverse of f(x)=x^2-4x-10 ?
The inverse of f(x)=x^2-4x-10 is 2+sqrt(x+14),2-sqrt(x+14)