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Popular >

y=(x^2-13x+13)e^5-x

Solution

y = (x^{2} - 13 x + 13) e^{5} - x

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{- 117 e ^{10} - 26 e ^{5} - 1}{4 e ^{5}}

X Intercepts : (\frac{13 e ^{5} + 1 + 117 e ^{10} + 26 e ^{5} + 1}{2 e ^{5}}, 0), (\frac{13 e ^{5} + 1 - 117 e ^{10} + 26 e ^{5} + 1}{2 e ^{5}}, 0), Y Intercepts : (0, 13 e^{5})

Inverse : \frac{13 e ^{5} + 1 + 4 e ^{5} x + 117 e ^{10} + 26 e ^{5} + 1}{2 e ^{5}}, \frac{13 e ^{5} + 1 - 4 e ^{5} x + 117 e ^{10} + 26 e ^{5} + 1}{2 e ^{5}}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{- 117 e ^{10} - 26 e ^{5} - 1}{4 e ^{5}}, \infty)

Solution steps

Domain of

(x^{2} - 13 x + 13) e^{5} - x : - \infty < x < \infty

Range of

(x^{2} - 13 x + 13) e^{5} - x : f (x) \geq \frac{- 117 e ^{10} - 26 e ^{5} - 1}{4 e ^{5}}

Axis interception points of

(x^{2} - 13 x + 13) e^{5} - x :

X Intercepts

: (\frac{13 e ^{5} + 1 + 117 e ^{10} + 26 e ^{5} + 1}{2 e ^{5}}, 0), (\frac{13 e ^{5} + 1 - 117 e ^{10} + 26 e ^{5} + 1}{2 e ^{5}}, 0),

Y Intercepts

: (0, 13 e^{5})

Inverse of

(x^{2} - 13 x + 13) e^{5} - x : \frac{13 e ^{5} + 1 + 4 e ^{5} x + 117 e ^{10} + 26 e ^{5} + 1}{2 e ^{5}}, \frac{13 e ^{5} + 1 - 4 e ^{5} x + 117 e ^{10} + 26 e ^{5} + 1}{2 e ^{5}}

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Frequently Asked Questions (FAQ)

What is the y=(x^2-13x+13)e^5-x ?
The y=(x^2-13x+13)e^5-x is