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Popular >

f(x)=(x^2-21)/(x-5)

Solution

f (x) = \frac{x ^{2} - 21}{x - 5}

Solution

Domain : x < 5 or x > 5

Range : f (x) \leq 6 or f (x) \geq 14

X Intercepts : (21, 0), (- 21, 0), Y Intercepts : (0, \frac{21}{5})

Asymptotes : Vertical x = 5, Slant y = x + 5

Extreme Points : Maximum (3, 6), Minimum (7, 14)

+1

Interval Notation

Domain : (- \infty, 5) \cup (5, \infty)

Range : (- \infty, 6] \cup [14, \infty)

Solution steps

Domain of

\frac{x ^{2} - 21}{x - 5} : x < 5 or x > 5

Range of

\frac{x ^{2} - 21}{x - 5} : f (x) \leq 6 or f (x) \geq 14

Axis interception points of

\frac{x ^{2} - 21}{x - 5} :

X Intercepts

: (21, 0), (- 21, 0),

Y Intercepts

: (0, \frac{21}{5})

Asymptotes of

\frac{x ^{2} - 21}{x - 5} :

Vertical

: x = 5,

Slant

: y = x + 5

Extreme Points of

\frac{x ^{2} - 21}{x - 5} :

Maximum

(3, 6),

Minimum

(7, 14)

Popular Examples

f (x) = - 0.07 x^{2}

f(x)=(2/3)^{(x-3)}-2

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

y= 1/(v^2)-2/(v^4)

y = \frac{1}{v ^{2}} - \frac{2}{v ^{4}}

y=x^3+3x^2+5x-6

y = x^{3} + 3 x^{2} + 5 x - 6

y = \frac{- 2}{3} x - 4

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2-21)/(x-5) ?
The f(x)=(x^2-21)/(x-5) is