Consider the following functions.

Algebra
Tutor: None Selected Time limit: 1 Day

f(x) = 

SQRT64 − x2
,    g(x) = 
SQRTx2 − 9
 

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) = √(64-x2)

domain = { x | -8 ≤ x ≤ 8 }

g(x) = √(x2-9)

domain = { x |  x ≥ 3 or x ≤ -3  }

(f+g)(x) = √(64-x2) + √(x2-9)

domain = { x |  3 ≤ x ≤ 8  or -8 ≤ x ≤ -3  }

(f-g)(x) = √(64-x2) - √(x2-9)

domain = { x |  3 ≤ x ≤ 8  or -8 ≤ x ≤ -3  }

(fg)(x) =  √(64-x2) * √(x2-9)

domain = { x |  3 ≤ x ≤ 8  or -8 ≤ x ≤ -3  }

(f/g) (x) = √(64-x2) / √(x2-9)

domain = { x |  3 < x ≤ 8  or -8 ≤ x < -3  }


Feb 23rd, 2015

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Feb 23rd, 2015
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Feb 23rd, 2015
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