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Popular >

f(x)= 1/(2+log_{e)(x)}

Solution

f (x) = \frac{1}{2 + lo g _{e} ( x )}

Solution

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

Range : f (x) < 0 or f (x) > 0

Intercepts : None

Asymptotes : Vertical x = \frac{1}{e ^{2}}, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, 0) \cup (0, \infty)

Solution steps

Domain of

\frac{1}{2 + lo g _{e} ( x )} : 0 < x < \frac{1}{e ^{2}} or x > \frac{1}{e ^{2}}

Range of

\frac{1}{2 + lo g _{e} ( x )} : f (x) < 0 or f (x) > 0

Axis interception points of

\frac{1}{2 + lo g _{e} ( x )} :

None

Asymptotes of

\frac{1}{2 + lo g _{e} ( x )} :

Vertical

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

Horizontal

: y = 0

Extreme Points of

\frac{1}{2 + lo g _{e} ( x )} :

None

Popular Examples

f(x)=3x^2-16x+18

f (x) = 3 x^{2} - 16 x + 18

f(x)=x^3-9x^2-x+9

f (x) = x^{3} - 9 x^{2} - x + 9

y = e^{x c o s (x)}

g (x) = 4 ∣ x - 2 ∣ - 3

y = - 3 x^{2} - 12 x - 8

Frequently Asked Questions (FAQ)

What is the f(x)= 1/(2+log_{e)(x)} ?
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