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Popular >

f(x)=((x^4-1))/((x^3-1))

Solution

f (x) = \frac{( x ^{4} - 1 )}{( x ^{3} - 1 )}

Solution

Domain : x < 1 or x > 1

Range : f (x) < \frac{4}{3} or f (x) > \frac{4}{3}

X Intercepts : (- 1, 0), Y Intercepts : (0, 1)

Asymptotes : Slant y = x

Extreme Points : Saddle (0, 1)

+1

Interval Notation

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

Range : (- \infty, \frac{4}{3}) \cup (\frac{4}{3}, \infty)

Solution steps

Domain of

\frac{x ^{4} - 1}{x ^{3} - 1} : x < 1 or x > 1

Range of

\frac{x ^{4} - 1}{x ^{3} - 1} : f (x) < \frac{4}{3} or f (x) > \frac{4}{3}

Axis interception points of

\frac{x ^{4} - 1}{x ^{3} - 1} :

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, 1)

Asymptotes of

\frac{x ^{4} - 1}{x ^{3} - 1} :

Slant

: y = x

Extreme Points of

\frac{x ^{4} - 1}{x ^{3} - 1} :

Saddle

(0, 1)

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Frequently Asked Questions (FAQ)

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