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Popular >

y=(2x^2+24x-24)e^4-x

Solution

y = (2 x^{2} + 24 x - 24) e^{4} - x

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{- 768 e ^{8} + 48 e ^{4} - 1}{8 e ^{4}}

X Intercepts : (\frac{- 24 e ^{4} + 1 + 768 e ^{8} - 48 e ^{4} + 1}{4 e ^{4}}, 0), (\frac{- 24 e ^{4} + 1 - 768 e ^{8} - 48 e ^{4} + 1}{4 e ^{4}}, 0), Y Intercepts : (0, - 24 e^{4})

Inverse : \frac{- 24 e ^{4} + 1 + 8 e ^{4} x + 768 e ^{8} - 48 e ^{4} + 1}{4 e ^{4}}, \frac{- 24 e ^{4} + 1 - 8 e ^{4} x + 768 e ^{8} - 48 e ^{4} + 1}{4 e ^{4}}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{- 768 e ^{8} + 48 e ^{4} - 1}{8 e ^{4}}, \infty)

Solution steps

Domain of

(2 x^{2} + 24 x - 24) e^{4} - x : - \infty < x < \infty

Range of

(2 x^{2} + 24 x - 24) e^{4} - x : f (x) \geq \frac{- 768 e ^{8} + 48 e ^{4} - 1}{8 e ^{4}}

Axis interception points of

(2 x^{2} + 24 x - 24) e^{4} - x :

X Intercepts

: (\frac{- 24 e ^{4} + 1 + 768 e ^{8} - 48 e ^{4} + 1}{4 e ^{4}}, 0), (\frac{- 24 e ^{4} + 1 - 768 e ^{8} - 48 e ^{4} + 1}{4 e ^{4}}, 0),

Y Intercepts

: (0, - 24 e^{4})

Inverse of

(2 x^{2} + 24 x - 24) e^{4} - x : \frac{- 24 e ^{4} + 1 + 8 e ^{4} x + 768 e ^{8} - 48 e ^{4} + 1}{4 e ^{4}}, \frac{- 24 e ^{4} + 1 - 8 e ^{4} x + 768 e ^{8} - 48 e ^{4} + 1}{4 e ^{4}}

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Frequently Asked Questions (FAQ)

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