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Popular >

f(x)=(ln(x))/(ln(2x))

Solution

f (x) = \frac{ln ( x )}{ln ( 2 x )}

Solution

Domain : 0 < x < \frac{1}{2} or x > \frac{1}{2}

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

X Intercepts : (1, 0)

Asymptotes : Vertical x = \frac{1}{2}, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

Domain : (0, \frac{1}{2}) \cup (\frac{1}{2}, \infty)

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

Solution steps

Domain of

\frac{ln ( x )}{ln ( 2 x )} : 0 < x < \frac{1}{2} or x > \frac{1}{2}

Range of

\frac{ln ( x )}{ln ( 2 x )} : f (x) < 1 or f (x) > 1

Axis interception points of

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

X Intercepts

: (1, 0)

Asymptotes of

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

Vertical

: x = \frac{1}{2},

Horizontal

: y = 1

Extreme Points of

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

None

Popular Examples

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

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

f(x)=(5x+4)/(x^2+3x+2)

f (x) = \frac{5 x + 4}{x ^{2} + 3 x + 2}

g(1)=2x^3+5x^2-28x-15

g (1) = 2 x^{3} + 5 x^{2} - 28 x - 15

y = cos (4 - 3 x)

h(t)=-16(t-1/4)^2+49

h (t) = - 16 (t - \frac{1}{4})^{2} + 49

Frequently Asked Questions (FAQ)

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