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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}

Popular Examples

asymptotes of (-7x^2+1)/(x^2+x+8)asymptotes

\frac{- 7 x ^{2} + 1}{x ^{2} + x + 8}

line m=-1/3 ,(6,9)line

m = - \frac{1}{3}, (6, 9)

inverse of f(x)=3+x inverse

f (x) = 3 + x

asymptotes of f(x)=((x^3+2x+1))/(x^2-5x)asymptotes

f (x) = \frac{( x ^{3} + 2 x + 1 )}{x ^{2} - 5 x}

range of f(x)=2sqrt(3x-3)range

f (x) = 2 3 x - 3

Frequently Asked Questions (FAQ)

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