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Popular >

y=5x^2+4x-1

Solution

y = 5 x^{2} + 4 x - 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{9}{5}

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

Vertex : Minimum (- \frac{2}{5}, - \frac{9}{5})

Inverse : \frac{- 2 + 5 x + 9}{5}, - \frac{5 x + 9 + 2}{5}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{9}{5}, \infty)

Solution steps

Domain of

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

Range of

5 x^{2} + 4 x - 1 : f (x) \geq - \frac{9}{5}

Axis interception points of

5 x^{2} + 4 x - 1 :

X Intercepts

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

Y Intercepts

: (0, - 1)

Vertex of

5 x^{2} + 4 x - 1 :

Minimum

(- \frac{2}{5}, - \frac{9}{5})

Inverse of

5 x^{2} + 4 x - 1 : \frac{- 2 + 5 x + 9}{5}, - \frac{5 x + 9 + 2}{5}

Popular Examples

f(x)=x^2-3x^{2/3}

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

f(x)=(34x)/2 ,0<= x<= 2

f (x) = \frac{34 x}{2}, 0 \leq x \leq 2

f(x)=(ln(x))/(x-2)

f (x) = \frac{ln ( x )}{x - 2}

f(x)=sqrt(x-2+3)

f (x) = x - 2 + 3

f (y) = - 4 \cdot y

Frequently Asked Questions (FAQ)

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