What is the inverse of f(x)=x^2+4x-45 ?

The inverse of f(x)=x^2+4x-45 is -2+sqrt(x+49),-sqrt(x+49)-2

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inverse of f(x)=x^2+4x-45

inverse

f (x) = x^{2} + 4 x - 45

- 2 + x + 49, - x + 49 - 2

Solution steps

y = x^{2} + 4 x - 45

Replace

x

with

y

x = y^{2} + 4 y - 45

Solve for

y, x = y^{2} + 4 y - 45

- 2 + x + 49, - x + 49 - 2

f (x) = - 5 - x - 1

f (x) = 500 - 16 x^{2}

f (x) = \frac{x ^{\frac{1}{7}}}{5} + 6

2 x^{3} - 1

f (x) = x^{2} - 10 x + 9

What is the inverse of f(x)=x^2+4x-45 ?
The inverse of f(x)=x^2+4x-45 is -2+sqrt(x+49),-sqrt(x+49)-2