Description
f(x) =
sqrt | 16 − x2 |
, g(x) =
sqrt | 1 + 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 |
Find the domain of
f |
g |
(x).
Explanation & Answer
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 }
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Review
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