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Popular >

f(x)=5-3(1+x^2)^{-1}

Solution

f (x) = 5 - 3 (1 + x^{2})^{- 1}

Solution

Domain : - \infty < x < \infty

Range : 2 \leq f (x) < 5

Y Intercepts : (0, 2)

Asymptotes : Horizontal y = 5

Extreme Points : Minimum (0, 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [2, 5)

Solution steps

Domain of

5 - 3 (1 + x^{2})^{- 1} : - \infty < x < \infty

Range of

5 - 3 (1 + x^{2})^{- 1} : 2 \leq f (x) < 5

Axis interception points of

5 - 3 (1 + x^{2})^{- 1} :

Y Intercepts

: (0, 2)

Asymptotes of

5 - 3 (1 + x^{2})^{- 1} :

Horizontal

: y = 5

Extreme Points of

5 - 3 (1 + x^{2})^{- 1} :

Minimum

(0, 2)

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Frequently Asked Questions (FAQ)

What is the f(x)=5-3(1+x^2)^{-1} ?
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