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Popular Functions >

f(x)=3x^2+x+5

Solution

f (x) = 3 x^{2} + x + 5

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{59}{12}

Y Intercepts : (0, 5)

Vertex : Minimum (- \frac{1}{6}, \frac{59}{12})

Inverse : \frac{- 1 + 12 x - 59}{6}, \frac{- 1 - 12 x - 59}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{59}{12}, \infty)

Solution steps

Domain of

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

Range of

3 x^{2} + x + 5 : f (x) \geq \frac{59}{12}

Axis interception points of

3 x^{2} + x + 5 :

Y Intercepts

: (0, 5)

Vertex of

3 x^{2} + x + 5 :

Minimum

(- \frac{1}{6}, \frac{59}{12})

Inverse of

3 x^{2} + x + 5 : \frac{- 1 + 12 x - 59}{6}, \frac{- 1 - 12 x - 59}{6}

Graph

Popular Examples

f(x)=(x-5)/(x+5)

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

f(x)=((3x+4))/(x^2+7x+12)

f(x)=(-2x^2-2x+2)arctan(e^{2x})

Frequently Asked Questions (FAQ)

What is the f(x)=3x^2+x+5 ?
The f(x)=3x^2+x+5 is