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Popular >

f(n)=(ln(n))/(ln(3n))

Solution

f (n) = \frac{ln ( n )}{ln ( 3 n )}

Solution

Domain : 0 < n < \frac{1}{3} or n > \frac{1}{3}

Range : f (x) < 1 or f (x) > 1

X Intercepts : (1, 0)

Asymptotes : Vertical n = \frac{1}{3}, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

Domain : (0, \frac{1}{3}) \cup (\frac{1}{3}, \infty)

Range : (- \infty, 1) \cup (1, \infty)

Solution steps

Domain of

\frac{ln ( n )}{ln ( 3 n )} : 0 < n < \frac{1}{3} or n > \frac{1}{3}

Range of

\frac{ln ( n )}{ln ( 3 n )} : f (x) < 1 or f (x) > 1

Axis interception points of

\frac{ln ( n )}{ln ( 3 n )} :

X Intercepts

: (1, 0)

Asymptotes of

\frac{ln ( n )}{ln ( 3 n )} :

Vertical

: n = \frac{1}{3},

Horizontal

: y = 1

Extreme Points of

\frac{ln ( n )}{ln ( 3 n )} :

None

Graph

Popular Examples

f(n)=(log_{10}(n))/(n^2)

f (n) = \frac{lo g _{10} ( n )}{n ^{2}}

f (x) = x^{3} + 7 x - 6

y = \frac{1}{2 x ^{2} - 5}

f(x)=x^3-5x^2-8x+12

f (x) = x^{3} - 5 x^{2} - 8 x + 12

f(x)=x(3x+6)-3(x^2+x)

f (x) = x (3 x + 6) - 3 (x^{2} + x)

Frequently Asked Questions (FAQ)

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