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Popular >

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

Solution

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

Solution

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

Range : - \infty < f (x) < \infty

X Intercepts : (- 3, 0), Y Intercepts : (0, - 3)

Asymptotes : Vertical x = 1, Horizontal y = 0

Extreme Points : Maximum (- 3, 0)

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

\frac{x + 3}{x - 1} : - \infty < f (x) < \infty

Axis interception points of

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

X Intercepts

: (- 3, 0),

Y Intercepts

: (0, - 3)

Asymptotes of

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

Vertical

: x = 1,

Horizontal

: y = 0

Extreme Points of

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

Maximum

(- 3, 0)

Popular Examples

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f(x)=x^2-12x+117

f (x) = x^{2} - 12 x + 117

f(x)=sqrt(x)+sqrt(2)

f (x) = x + 2

Frequently Asked Questions (FAQ)

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