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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{- 540 e ^{4} + 36 e ^{2} - 1}{12 e ^{2}}

X Intercepts : (\frac{- 18 e ^{2} + 1 + 540 e ^{4} - 36 e ^{2} + 1}{6 e ^{2}}, 0), (\frac{- 18 e ^{2} + 1 - 540 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 + 540 e ^{4} - 36 e ^{2} + 1}{6 e ^{2}}, \frac{- 18 e ^{2} + 1 - 12 e ^{2} x + 540 e ^{4} - 36 e ^{2} + 1}{6 e ^{2}}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{- 540 e ^{4} + 36 e ^{2} - 1}{12 e ^{2}}, \infty)

Solution steps

Domain of

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

Range of

(3 x^{2} + 18 x - 18) e^{2} - x : f (x) \geq \frac{- 540 e ^{4} + 36 e ^{2} - 1}{12 e ^{2}}

Axis interception points of

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

X Intercepts

: (\frac{- 18 e ^{2} + 1 + 540 e ^{4} - 36 e ^{2} + 1}{6 e ^{2}}, 0), (\frac{- 18 e ^{2} + 1 - 540 e ^{4} - 36 e ^{2} + 1}{6 e ^{2}}, 0),

Y Intercepts

: (0, - 18 e^{2})

Inverse of

(3 x^{2} + 18 x - 18) e^{2} - x : \frac{- 18 e ^{2} + 1 + 12 e ^{2} x + 540 e ^{4} - 36 e ^{2} + 1}{6 e ^{2}}, \frac{- 18 e ^{2} + 1 - 12 e ^{2} x + 540 e ^{4} - 36 e ^{2} + 1}{6 e ^{2}}

Popular Examples

f(a)=17a-2+3a^2

f (a) = 17 a - 2 + 3 a^{2}

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

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

f(x)=x^3+2x^2-x-12

f (x) = x^{3} + 2 x^{2} - x - 12

f (x) = \frac{7}{7 x}

Frequently Asked Questions (FAQ)

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