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Popular >

s(t)= 4/(t^2)-5/t-9/5

Solution

s (t) = \frac{4}{t ^{2}} - \frac{5}{t} - \frac{9}{5}

Solution

Domain : t < 0 or t > 0

Range : - \frac{269}{80} \leq f (t) < - \frac{9}{5} or f (t) > - \frac{9}{5}

X Intercepts : (- \frac{25 + 1345}{18}, 0), (\frac{1345 - 25}{18}, 0)

Asymptotes : Horizontal y = - \frac{9}{5}

Extreme Points : Minimum (\frac{8}{5}, - \frac{269}{80})

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : [- \frac{269}{80}, - \frac{9}{5}) \cup (- \frac{9}{5}, \infty)

Solution steps

Domain of

\frac{4}{t ^{2}} - \frac{5}{t} - \frac{9}{5} : t < 0 or t > 0

Range of

\frac{4}{t ^{2}} - \frac{5}{t} - \frac{9}{5} : - \frac{269}{80} \leq f (t) < - \frac{9}{5} or f (t) > - \frac{9}{5}

Axis interception points of

\frac{4}{t ^{2}} - \frac{5}{t} - \frac{9}{5} :

X Intercepts

: (- \frac{25 + 1345}{18}, 0), (\frac{1345 - 25}{18}, 0)

Asymptotes of

\frac{4}{t ^{2}} - \frac{5}{t} - \frac{9}{5} :

Horizontal

: y = - \frac{9}{5}

Extreme Points of

\frac{4}{t ^{2}} - \frac{5}{t} - \frac{9}{5} :

Minimum

(\frac{8}{5}, - \frac{269}{80})

Popular Examples

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

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

g (x) = 2^{x^{2}} - 1

f (x) = 4 x^{2} - 3 x - 3

g (x) = \frac{4}{x + 5}

y=(x^2-4)(x+2x^4)

y = (x^{2} - 4) (x + 2 x^{4})

Frequently Asked Questions (FAQ)

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