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Popular >

f(x)=5x^2-2x+2

Solution

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

Solution

Domain : - \infty < x < \infty

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

Y Intercepts : (0, 2)

Vertex : Minimum (\frac{1}{5}, \frac{9}{5})

Inverse : \frac{1 + 5 x - 9}{5}, \frac{1 - 5 x - 9}{5}

+1

Interval Notation

Domain : (- \infty, \infty)

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

: (0, 2)

Vertex of

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

Minimum

(\frac{1}{5}, \frac{9}{5})

Inverse of

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

Popular Examples

f(x)=4x^2-12x-9

f (x) = 4 x^{2} - 12 x - 9

f(x)=(5x^2-16x-16)/(2x^2+x-21)

f (x) = \frac{5 x ^{2} - 16 x - 16}{2 x ^{2} + x - 21}

f(x)=x^2e^x+2sin(x)+sqrt(1/5)

f (x) = x^{2} e^{x} + 2 sin (x) + \frac{1}{5}

f(x)=-2sin(5x-pi/2)+3

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

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

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

Frequently Asked Questions (FAQ)

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