Consider the following functions.

Algebra
Tutor: None Selected Time limit: 1 Day

f(x) = 

sqrt16 − x2

,   g(x) = 

sqrt1 + x

Find (f + g)(x)

 Find the domain of (f + g)(x).

Find (f − g)(x).

Find the domain of (f − g)(x)

Find (fg)(x).

Find the domain of (fg)(x)

Find 

f
g
(x).

 

 Find the domain of 

f
g

(x).

Feb 23rd, 2015

f(x) = √(16-x2)

domain = { x | -4 ≤ x ≤ 4 }

g(x) = √(1+x)

domain = { x |  x ≥ -1  }

(f+g)(x) = √(16-x2) + √(1+x)

domain = { x |  -1 ≤ x ≤ 4  }

(f-g)(x) = √(16-x2) - √(1+x)

domain = { x |  -1 ≤ x ≤ 4  }

(fg)(x) =  √(16-x2) * √(1+x)

domain = { x |  -1 ≤ x ≤ 4 }

(f/g) (x) = √(16-x2) / √(1+x)

domain = { x |  -1 < x ≤ 4 }


Feb 23rd, 2015

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Feb 23rd, 2015
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Feb 23rd, 2015
Dec 10th, 2016
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