Answer:
(a) (f+g)(x) = √(2x) +x²
(b) (f-g)(x) = √(2x) -x²
(c) (f·g)(x) = x²√(2x)
(d) (f/g)(x) = (√(2x))/x²
Step-by-step explanation:
These are all about the meaning of the notation (f <operator> g)(x). When the operator is an arithmetic operation (addition, subtraction, multiplication, division), the notation means the same thing as ...
f(x) <operator> g(x)
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(a) (f+g)(x) = f(x) + g(x)
(f+g)(x) = √(2x) +x²
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(b) (f-g)(x) = f(x) -g(x)
(f-g)(x) = √(2x) -x²
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(c) (f·g)(x) = f(x)·g(x)
(f·g)(x) = x²√(2x)
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(d) (f/g)(x) = f(x)/g(x)
(f/g)(x) = (√(2x))/x²
