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Popular >

f(x)= 5/(1-4x^2)

Solution

f (x) = \frac{5}{1 - 4 x ^{2}}

Solution

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

Range : f (x) < 0 or f (x) \geq 5

Y Intercepts : (0, 5)

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

Extreme Points : Minimum (0, 5)

+1

Interval Notation

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

Range : (- \infty, 0) \cup [5, \infty)

Solution steps

Domain of

\frac{5}{1 - 4 x ^{2}} : x < - \frac{1}{2} or - \frac{1}{2} < x < \frac{1}{2} or x > \frac{1}{2}

Range of

\frac{5}{1 - 4 x ^{2}} : f (x) < 0 or f (x) \geq 5

Axis interception points of

\frac{5}{1 - 4 x ^{2}} :

Y Intercepts

: (0, 5)

Asymptotes of

\frac{5}{1 - 4 x ^{2}} :

Vertical

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

Horizontal

: y = 0

Extreme Points of

\frac{5}{1 - 4 x ^{2}} :

Minimum

(0, 5)

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Frequently Asked Questions (FAQ)

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