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Popular >

R(x)=(x^2-25)/(x^2-8x+16)

Solution

R (x) = \frac{x ^{2} - 25}{x ^{2} - 8 x + 16}

Solution

Domain : x < 4 or x > 4

Range : f (x) \leq \frac{25}{9}

X Intercepts : (5, 0), (- 5, 0), Y Intercepts : (0, - \frac{25}{16})

Asymptotes : Vertical x = 4, Horizontal y = 1

Extreme Points : Maximum (\frac{25}{4}, \frac{25}{9})

+1

Interval Notation

Domain : (- \infty, 4) \cup (4, \infty)

Range : (- \infty, \frac{25}{9}]

Solution steps

Domain of

\frac{x ^{2} - 25}{x ^{2} - 8 x + 16} : x < 4 or x > 4

Range of

\frac{x ^{2} - 25}{x ^{2} - 8 x + 16} : f (x) \leq \frac{25}{9}

Axis interception points of

\frac{x ^{2} - 25}{x ^{2} - 8 x + 16} :

X Intercepts

: (5, 0), (- 5, 0),

Y Intercepts

: (0, - \frac{25}{16})

Asymptotes of

\frac{x ^{2} - 25}{x ^{2} - 8 x + 16} :

Vertical

: x = 4,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} - 25}{x ^{2} - 8 x + 16} :

Maximum

(\frac{25}{4}, \frac{25}{9})

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Frequently Asked Questions (FAQ)

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