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Question

Part 1
Let f left parenthesis x right parenthesis equals x minus 2 and g left parenthesis x right parenthesis equals 2 x squared. Perform the function operation and then find the domain of the result.
left parenthesis f minus g right parenthesis left parenthesis x right parenthesis
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Part 1
left parenthesis f minus g right parenthesis left parenthesis x right parenthesisequals
  
enter your response here ​(Simplify your​ answer.)
Part 2
What is the domain of left parenthesis f minus g right parenthesis left parenthesis x right parenthesis​?
A.
The domain of fminusg is the set of all real numbers except xequals0.
B.
The domain of fminusg is the set of all xless than or equals0.
C.
The domain of fminusg is the set of all real numbers.
D.
The domain of fminusg is the set of all xgreater than or equals0.

Answer 1

Part 1:
\(f - g(x) = x - 2 - 2x^2\)

Simplified: \(f - g(x) = -2x^2 + x - 2\)

Part 2:
C. The domain of \(f - g\) is the set of all real numbers.