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Popular >

y=(3x^2-18x+18)*e^2-x

Solution

y = (3 x^{2} - 18 x + 18) \cdot e^{2} - x

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{- 108 e ^{4} - 36 e ^{2} - 1}{12 e ^{2}}

X Intercepts : (\frac{18 e ^{2} + 1 + 108 e ^{4} + 36 e ^{2} + 1}{6 e ^{2}}, 0), (\frac{18 e ^{2} + 1 - 108 e ^{4} + 36 e ^{2} + 1}{6 e ^{2}}, 0), Y Intercepts : (0, 18 e^{2})

Inverse : \frac{18 e ^{2} + 1 + 12 e ^{2} x + 108 e ^{4} + 36 e ^{2} + 1}{6 e ^{2}}, \frac{18 e ^{2} + 1 - 12 e ^{2} x + 108 e ^{4} + 36 e ^{2} + 1}{6 e ^{2}}

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

(3 x^{2} - 18 x + 18) \cdot e^{2} - x : - \infty < x < \infty

Range of

(3 x^{2} - 18 x + 18) \cdot e^{2} - x : f (x) \geq \frac{- 108 e ^{4} - 36 e ^{2} - 1}{12 e ^{2}}

Axis interception points of

(3 x^{2} - 18 x + 18) \cdot e^{2} - x :

X Intercepts

: (\frac{18 e ^{2} + 1 + 108 e ^{4} + 36 e ^{2} + 1}{6 e ^{2}}, 0), (\frac{18 e ^{2} + 1 - 108 e ^{4} + 36 e ^{2} + 1}{6 e ^{2}}, 0),

Y Intercepts

: (0, 18 e^{2})

Inverse of

(3 x^{2} - 18 x + 18) \cdot e^{2} - x : \frac{18 e ^{2} + 1 + 12 e ^{2} x + 108 e ^{4} + 36 e ^{2} + 1}{6 e ^{2}}, \frac{18 e ^{2} + 1 - 12 e ^{2} x + 108 e ^{4} + 36 e ^{2} + 1}{6 e ^{2}}

Graph

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Frequently Asked Questions (FAQ)

What is the y=(3x^2-18x+18)*e^2-x ?
The y=(3x^2-18x+18)*e^2-x is