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Popular >

f(x)=sqrt((x+5)/(2x-4))

Solution

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

Solution

Domain : x \leq - 5 or x > 2

Range : 0 \leq f (x) < \frac{1}{2} or f (x) > \frac{1}{2}

X Intercepts : (- 5, 0)

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

Extreme Points : Maximum (- 5, 0)

+1

Interval Notation

Domain : (- \infty, - 5] \cup (2, \infty)

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

Solution steps

Domain of

\frac{x + 5}{2 x - 4} : x \leq - 5 or x > 2

Range of

\frac{x + 5}{2 x - 4} : 0 \leq f (x) < \frac{1}{2} or f (x) > \frac{1}{2}

Axis interception points of

\frac{x + 5}{2 x - 4} :

X Intercepts

: (- 5, 0)

Asymptotes of

\frac{x + 5}{2 x - 4} :

Vertical

: x = 2,

Horizontal

: y = \frac{1}{2}

Extreme Points of

\frac{x + 5}{2 x - 4} :

Maximum

(- 5, 0)

Popular Examples

f (x) = x^{2} + 8 x - 18

y = e^{c o s (π x)}

r (x) = 3 x^{2} + 4

f (x) = - 8 x + 5

f (x) = - 8 x + 2

Frequently Asked Questions (FAQ)

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