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Popular >

y=(xln(x))/((ln(x))-2)

Solution

y = \frac{x ln ( x )}{( ln ( x ) ) - 2}

Solution

Domain : 0 < x < e^{2} or x > e^{2}

Range : f (x) \leq e^{1 - 3} (2 - 3) or f (x) \geq e^{1 + 3} (2 + 3)

X Intercepts : (1, 0)

Asymptotes : Vertical x = e^{2}

Extreme Points : Maximum (e^{1 - 3}, e^{1 - 3} (2 - 3)), Minimum (e^{1 + 3}, e^{1 + 3} (2 + 3))

+1

Interval Notation

Domain : (0, e^{2}) \cup (e^{2}, \infty)

Range : (- \infty, e^{1 - 3} (2 - 3)] \cup [e^{1 + 3} (2 + 3), \infty)

Solution steps

Domain of

\frac{x ln ( x )}{ln ( x ) - 2} : 0 < x < e^{2} or x > e^{2}

Range of

\frac{x ln ( x )}{ln ( x ) - 2} : f (x) \leq e^{1 - 3} (2 - 3) or f (x) \geq e^{1 + 3} (2 + 3)

Axis interception points of

\frac{x ln ( x )}{ln ( x ) - 2} :

X Intercepts

: (1, 0)

Asymptotes of

\frac{x ln ( x )}{ln ( x ) - 2} :

Vertical

: x = e^{2}

Extreme Points of

\frac{x ln ( x )}{ln ( x ) - 2} :

Maximum

(e^{1 - 3}, e^{1 - 3} (2 - 3)),

Minimum

(e^{1 + 3}, e^{1 + 3} (2 + 3))

Popular Examples

f(x)=sqrt(10-2x)+3sqrt(x-1)

f (x) = 10 - 2 x + 3 x - 1

y = (x - 1) e^{- 2 x}

f(a)=a^{12}-6a^8+5a^4+2a^6-6a^2+1

f (a) = a^{12} - 6 a^{8} + 5 a^{4} + 2 a^{6} - 6 a^{2} + 1

y = - x - 3 + 4

f(x)=-0.4x^2+90x-2000

f (x) = - 0.4 x^{2} + 90 x - 2000

Frequently Asked Questions (FAQ)

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