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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{5}{4}

X Intercepts : (\frac{1 + 5}{2}, 0), (\frac{1 - 5}{2}, 0), Y Intercepts : (0, - 1)

Vertex : Minimum (\frac{1}{2}, - \frac{5}{4})

Inverse : \frac{1 + 4 x + 5}{2}, \frac{1 - 4 x + 5}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{5}{4}, \infty)

Solution steps

Domain of

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

Range of

x^{2} - x - 1 : f (x) \geq - \frac{5}{4}

Axis interception points of

x^{2} - x - 1 :

X Intercepts

: (\frac{1 + 5}{2}, 0), (\frac{1 - 5}{2}, 0),

Y Intercepts

: (0, - 1)

Vertex of

x^{2} - x - 1 :

Minimum

(\frac{1}{2}, - \frac{5}{4})

Inverse of

x^{2} - x - 1 : \frac{1 + 4 x + 5}{2}, \frac{1 - 4 x + 5}{2}

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

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Frequently Asked Questions (FAQ)

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