What is the inverse of h(x)=x^{(2)}-4x+9 ?

The inverse of h(x)=x^{(2)}-4x+9 is 2+sqrt(x-5),2-sqrt(x-5)

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inverse of h(x)=x^{(2)}-4x+9

inverse

h (x) = x^{(2)} - 4 x + 9

2 + x - 5, 2 - x - 5

Solution steps

y = x^{2} - 4 x + 9

Replace

x

with

y

x = y^{2} - 4 y + 9

Solve for

y, x = y^{2} - 4 y + 9

2 + x - 5, 2 - x - 5

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

f (x) = 7^{x}

f (x) = \frac{4 x}{x ^{2} - 25}

ln (x - 1) \cdot (x - 1)

f (x) = x^{3} + \frac{3}{2} x^{2} - 5 x - 2

What is the inverse of h(x)=x^{(2)}-4x+9 ?
The inverse of h(x)=x^{(2)}-4x+9 is 2+sqrt(x-5),2-sqrt(x-5)