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Popular >

f(x)=3x^2+10x+9

Solution

f (x) = 3 x^{2} + 10 x + 9

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{2}{3}

Y Intercepts : (0, 9)

Vertex : Minimum (- \frac{5}{3}, \frac{2}{3})

Inverse : \frac{- 5 + 3 x - 2}{3}, - \frac{3 x - 2 + 5}{3}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{2}{3}, \infty)

Solution steps

Domain of

3 x^{2} + 10 x + 9 : - \infty < x < \infty

Range of

3 x^{2} + 10 x + 9 : f (x) \geq \frac{2}{3}

Axis interception points of

3 x^{2} + 10 x + 9 :

Y Intercepts

: (0, 9)

Vertex of

3 x^{2} + 10 x + 9 :

Minimum

(- \frac{5}{3}, \frac{2}{3})

Inverse of

3 x^{2} + 10 x + 9 : \frac{- 5 + 3 x - 2}{3}, - \frac{3 x - 2 + 5}{3}

Popular Examples

f (x) = 3^{6 - x}

f (x) = (e^{x} - a)^{2}

f(x)=3x^2+5x-33

f (x) = 3 x^{2} + 5 x - 33

f(x)=(x^2-3x+1)/(10)

f (x) = \frac{x ^{2} - 3 x + 1}{10}

y=((5x-4))/(3x^2+1)

y = \frac{( 5 x - 4 )}{3 x ^{2} + 1}

Frequently Asked Questions (FAQ)

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