If the domain of a function f is {x|0≤x≤7} and the domain of a function g is {x|-2≤x≤5}, then the domain of the sum of the funct
ion f+g is ______
1 answer:
Answer:
-2 ≤ x ≤ 6
Step-by-step explanation:
For function f:
x - 7 ≤ 0 and x ≥ 0
For function g:
x + 2 ≥ 0 and x - 5 ≤ 0
The sum of the f + g:
x - 7 + x - 5 ≤ 0
2x - 12 ≤ 0
2x ≤ 12
∴ x ≤ 6
Also, x + 2 ≥ 0
x ≥ -2
Hence, -2 ≤ x ≤ 6
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Step-by-step explanation:
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6
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