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Popular Functions >

f(x)=5x^2+7x+1

Solution

f (x) = 5 x^{2} + 7 x + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{29}{20}

X Intercepts : (\frac{- 7 + 29}{10}, 0), (\frac{- 7 - 29}{10}, 0), Y Intercepts : (0, 1)

Vertex : Minimum (- \frac{7}{10}, - \frac{29}{20})

Inverse : \frac{- 7 + 20 x + 29}{10}, \frac{- 7 - 20 x + 29}{10}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{29}{20}, \infty)

Solution steps

Domain of

5 x^{2} + 7 x + 1 : - \infty < x < \infty

Range of

5 x^{2} + 7 x + 1 : f (x) \geq - \frac{29}{20}

Axis interception points of

5 x^{2} + 7 x + 1 :

X Intercepts

: (\frac{- 7 + 29}{10}, 0), (\frac{- 7 - 29}{10}, 0),

Y Intercepts

: (0, 1)

Vertex of

5 x^{2} + 7 x + 1 :

Minimum

(- \frac{7}{10}, - \frac{29}{20})

Inverse of

5 x^{2} + 7 x + 1 : \frac{- 7 + 20 x + 29}{10}, \frac{- 7 - 20 x + 29}{10}

Graph

Popular Examples

domain of f(x)=(3x^2+5)^4(2x-3)^5

f(x)=(x-5)^5(x+1)^7

f(x)=(cos(5x)cos(2x)-cos(4x)cos(3x))/(sin(2x)sin(x))

Frequently Asked Questions (FAQ)

What is the f(x)=5x^2+7x+1 ?
The f(x)=5x^2+7x+1 is