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Popular Functions >

f(x)=x^2-4x+1

Solution

f (x) = x^{2} - 4 x + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 3

X Intercepts : (2 + 3, 0), (2 - 3, 0), Y Intercepts : (0, 1)

Vertex : Minimum (2, - 3)

Inverse : 2 + x + 3, 2 - x + 3

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

x^{2} - 4 x + 1 : - \infty < x < \infty

Range of

x^{2} - 4 x + 1 : f (x) \geq - 3

Axis interception points of

x^{2} - 4 x + 1 :

X Intercepts

: (2 + 3, 0), (2 - 3, 0),

Y Intercepts

: (0, 1)

Vertex of

x^{2} - 4 x + 1 :

Minimum

(2, - 3)

Inverse of

x^{2} - 4 x + 1 : 2 + x + 3, 2 - x + 3

Graph

Popular Examples

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inverse of f(x)=-3(x-1)^2+4

distance (-11,15),(9,-12)

domain of f(x)=e^{x-2}-3

Frequently Asked Questions (FAQ)

What is the f(x)=x^2-4x+1 ?
The f(x)=x^2-4x+1 is