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Popular >

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

Solution

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

Solution

Domain : - 1 \leq x < 2 or x > 2

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

X Intercepts : (- 1, 0), Y Intercepts : (0, - \frac{1}{2})

Asymptotes : Vertical x = 2, Horizontal y = 0

Extreme Points : Maximum (- 1, 0)

+1

Interval Notation

Domain : [- 1, 2) \cup (2, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

\frac{x + 1}{x - 2} : - \infty < f (x) < \infty

Axis interception points of

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

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, - \frac{1}{2})

Asymptotes of

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

Vertical

: x = 2,

Horizontal

: y = 0

Extreme Points of

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

Maximum

(- 1, 0)

Popular Examples

f(x)=2sqrt(x^2-5x+6)+3sqrt(-x^2+5x-4)

f (x) = 2 x^{2} - 5 x + 6 + 3 - x^{2} + 5 x - 4

f (x) = - x^{2} - 3 x + 6

f(x)=sqrt(x^2+4x+4)

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

y = - 3^{2 x - 2} + 2

f(x)=log_{10}(x^2+2x-3)

f (x) = lo g_{10} (x^{2} + 2 x - 3)

Frequently Asked Questions (FAQ)

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