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Popular >

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

Solution

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

Solution

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

Range : f (x) \leq - \frac{1}{4} or f (x) > 0

Y Intercepts : (0, - \frac{1}{3})

Asymptotes : Vertical x = - 1, x = 3, Horizontal y = 0

Extreme Points : Maximum (1, - \frac{1}{4})

+1

Interval Notation

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

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

: (0, - \frac{1}{3})

Asymptotes of

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

Vertical

: x = - 1, x = 3,

Horizontal

: y = 0

Extreme Points of

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

Maximum

(1, - \frac{1}{4})

Popular Examples

f(x)=-2(x-4)^2+1

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

f(x)=ln(3x^2-5x+2)

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

f(s)=(172s-156)/(s^3-1.2s^2-11.8s+2.4)

f (s) = \frac{172 s - 156}{s ^{3} - 1.2 s ^{2} - 11.8 s + 2.4}

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

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

f(x)=x*log_{10}(x)

f (x) = x \cdot lo g_{10} (x)

Frequently Asked Questions (FAQ)

What is the f(x)= 1/((x-3)(x+1)) ?
The f(x)= 1/((x-3)(x+1)) is