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Popular >

f(x)=(5x-2)/(sqrt(25x^2-4))

Solution

f (x) = \frac{5 x - 2}{25 x ^{2} - 4}

Solution

Domain : x < - \frac{2}{5} or x > \frac{2}{5}

Range : f (x) < - 1 or 0 < f (x) < 1

Intercepts : None

Asymptotes : Vertical x = - \frac{2}{5}, Horizontal y = 1, y = - 1

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - \frac{2}{5}) \cup (\frac{2}{5}, \infty)

Range : (- \infty, - 1) \cup (0, 1)

Solution steps

Domain of

\frac{5 x - 2}{25 x ^{2} - 4} : x < - \frac{2}{5} or x > \frac{2}{5}

Range of

\frac{5 x - 2}{25 x ^{2} - 4} : f (x) < - 1 or 0 < f (x) < 1

Axis interception points of

\frac{5 x - 2}{25 x ^{2} - 4} :

None

Asymptotes of

\frac{5 x - 2}{25 x ^{2} - 4} :

Vertical

: x = - \frac{2}{5},

Horizontal

: y = 1, y = - 1

Extreme Points of

\frac{5 x - 2}{25 x ^{2} - 4} :

None

Popular Examples

f (x) = (2 x)^{2}

f (x) = 2^{- x} + 4

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

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

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

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

y = 4 x - 20

Frequently Asked Questions (FAQ)

What is the f(x)=(5x-2)/(sqrt(25x^2-4)) ?
The f(x)=(5x-2)/(sqrt(25x^2-4)) is