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Popular >

f(x)=3x^2+7x-5

Solution

f (x) = 3 x^{2} + 7 x - 5

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{109}{12}

X Intercepts : (\frac{- 7 + 109}{6}, 0), (\frac{- 7 - 109}{6}, 0), Y Intercepts : (0, - 5)

Vertex : Minimum (- \frac{7}{6}, - \frac{109}{12})

Inverse : \frac{- 7 + 12 x + 109}{6}, \frac{- 7 - 12 x + 109}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{109}{12}, \infty)

Solution steps

Domain of

3 x^{2} + 7 x - 5 : - \infty < x < \infty

Range of

3 x^{2} + 7 x - 5 : f (x) \geq - \frac{109}{12}

Axis interception points of

3 x^{2} + 7 x - 5 :

X Intercepts

: (\frac{- 7 + 109}{6}, 0), (\frac{- 7 - 109}{6}, 0),

Y Intercepts

: (0, - 5)

Vertex of

3 x^{2} + 7 x - 5 :

Minimum

(- \frac{7}{6}, - \frac{109}{12})

Inverse of

3 x^{2} + 7 x - 5 : \frac{- 7 + 12 x + 109}{6}, \frac{- 7 - 12 x + 109}{6}

Popular Examples

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f (x) = - x^{2} - 6 x + 3

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

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

f(x)=-1.5sin((2x)/7-pi/7)-3

f (x) = - 1.5 sin (\frac{2 x}{7} - \frac{π}{7}) - 3

Frequently Asked Questions (FAQ)

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