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Popular >

f(x)=(sqrt(x+3)-2)/(x-1)

Solution

f (x) = \frac{x + 3 - 2}{x - 1}

Solution

Domain : - 3 \leq x < 1 or x > 1

Range : 0 < f (x) < \frac{1}{4} or \frac{1}{4} < f (x) \leq \frac{1}{2}

Y Intercepts : (0, 2 - 3)

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- 3, \frac{1}{2})

+1

Interval Notation

Domain : [- 3, 1) \cup (1, \infty)

Range : (0, \frac{1}{4}) \cup (\frac{1}{4}, \frac{1}{2}]

Solution steps

Domain of

\frac{x + 3 - 2}{x - 1} : - 3 \leq x < 1 or x > 1

Range of

\frac{x + 3 - 2}{x - 1} : 0 < f (x) < \frac{1}{4} or \frac{1}{4} < f (x) \leq \frac{1}{2}

Axis interception points of

\frac{x + 3 - 2}{x - 1} :

Y Intercepts

: (0, 2 - 3)

Asymptotes of

\frac{x + 3 - 2}{x - 1} :

Horizontal

: y = 0

Extreme Points of

\frac{x + 3 - 2}{x - 1} :

Maximum

(- 3, \frac{1}{2})

Popular Examples

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

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

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f (x) = - \frac{1}{2} cos (8 x) - \frac{1}{2} sin (8 x)

f(x)=(x^2-7x+12)/(x-3)

f (x) = \frac{x ^{2} - 7 x + 12}{x - 3}

f(x)=(4x^2-16)/(x-2)

f (x) = \frac{4 x ^{2} - 16}{x - 2}

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

Frequently Asked Questions (FAQ)

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