What is the inverse of f(x)=x^2-4x-21 ?

The inverse of f(x)=x^2-4x-21 is 2+sqrt(x+25),2-sqrt(x+25)

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inverse of f(x)=x^2-4x-21

inverse

f (x) = x^{2} - 4 x - 21

2 + x + 25, 2 - x + 25

Solution steps

y = x^{2} - 4 x - 21

Replace

x

with

y

x = y^{2} - 4 y - 21

Solve for

y, x = y^{2} - 4 y - 21

2 + x + 25, 2 - x + 25

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

5 x - 15

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

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

f (x) = - 18

What is the inverse of f(x)=x^2-4x-21 ?
The inverse of f(x)=x^2-4x-21 is 2+sqrt(x+25),2-sqrt(x+25)