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Popular >

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

Solution

f (x) = 5 (x^{2} + 3 x - 2) - (2 x + 4)^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{105}{4}

X Intercepts : (\frac{1 + 105}{2}, 0), (\frac{1 - 105}{2}, 0), Y Intercepts : (0, - 26)

Vertex : Minimum (\frac{1}{2}, - \frac{105}{4})

Inverse : \frac{1 + 4 x + 105}{2}, \frac{1 - 4 x + 105}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

5 (x^{2} + 3 x - 2) - (2 x + 4)^{2} : - \infty < x < \infty

Range of

5 (x^{2} + 3 x - 2) - (2 x + 4)^{2} : f (x) \geq - \frac{105}{4}

Axis interception points of

5 (x^{2} + 3 x - 2) - (2 x + 4)^{2} :

X Intercepts

: (\frac{1 + 105}{2}, 0), (\frac{1 - 105}{2}, 0),

Y Intercepts

: (0, - 26)

Vertex of

5 (x^{2} + 3 x - 2) - (2 x + 4)^{2} :

Minimum

(\frac{1}{2}, - \frac{105}{4})

Inverse of

5 (x^{2} + 3 x - 2) - (2 x + 4)^{2} : \frac{1 + 4 x + 105}{2}, \frac{1 - 4 x + 105}{2}

Graph

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Frequently Asked Questions (FAQ)

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