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Popular >

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

Solution

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

Solution

Domain : 2 \leq x < 3 or x > 3

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

X Intercepts : (2, 0)

Asymptotes : Vertical x = 3, Horizontal y = 0

Extreme Points : Maximum (2, 0)

+1

Interval Notation

Domain : [2, 3) \cup (3, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

\frac{x - 2}{x - 3} : - \infty < f (x) < \infty

Axis interception points of

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

X Intercepts

: (2, 0)

Asymptotes of

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

Vertical

: x = 3,

Horizontal

: y = 0

Extreme Points of

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

Maximum

(2, 0)

Popular Examples

y = x^{2} + 8 x + 22

y = - x^{2} - 10 x - 25

f(k)=2^k+2^{k-1}+2^{k-2}

f (k) = 2^{k} + 2^{k - 1} + 2^{k - 2}

f(x)= 3/2 sqrt(x),0<x<1

f (x) = \frac{3}{2} x, 0 < x < 1

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

Frequently Asked Questions (FAQ)

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