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Popular >

f(x)=(sqrt(x-1))/(x^2-4)

Solution

f (x) = \frac{x - 1}{x ^{2} - 4}

Solution

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

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

X Intercepts : (1, 0)

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} - 4} : 1 \leq x < 2 or x > 2

Range of

\frac{x - 1}{x ^{2} - 4} : - \infty < f (x) < \infty

Axis interception points of

\frac{x - 1}{x ^{2} - 4} :

X Intercepts

: (1, 0)

Asymptotes of

\frac{x - 1}{x ^{2} - 4} :

Vertical

: x = 2,

Horizontal

: y = 0

Extreme Points of

\frac{x - 1}{x ^{2} - 4} :

Maximum

(1, 0)

Popular Examples

h(x)=sqrt(x-10)

h (x) = x - 10

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

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

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

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

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

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

f(x)= 1/((2+x)^3)

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

Frequently Asked Questions (FAQ)

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