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Popular >

f(x)=x^2+3x

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{9}{4}

X Intercepts : (0, 0), (- 3, 0), Y Intercepts : (0, 0)

Vertex : Minimum (- \frac{3}{2}, - \frac{9}{4})

Inverse : \frac{- 3 + 9 + 4 x}{2}, \frac{- 3 - 9 + 4 x}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{9}{4}, \infty)

Solution steps

Domain of

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

Range of

x^{2} + 3 x : f (x) \geq - \frac{9}{4}

Axis interception points of

x^{2} + 3 x :

X Intercepts

: (0, 0), (- 3, 0),

Y Intercepts

: (0, 0)

Vertex of

x^{2} + 3 x :

Minimum

(- \frac{3}{2}, - \frac{9}{4})

Inverse of

x^{2} + 3 x : \frac{- 3 + 9 + 4 x}{2}, \frac{- 3 - 9 + 4 x}{2}

Popular Examples

range of 46 range

46

domain of 1/(x^3)domain

\frac{1}{x ^{3}}

inverse of f(x)=(x+9)/(7-4x)inverse

f (x) = \frac{x + 9}{7 - 4 x}

domain of f(x)= 1/(5x-20)domain

f (x) = \frac{1}{5 x - 20}

domain of (4x)/(7x-1)domain

\frac{4 x}{7 x - 1}

Frequently Asked Questions (FAQ)

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