SOLUTION: for the functions f(x) = x + 2 and g(x) = x^2 − 4, find the composite function and state its domain. Explain the mistake made.
g(x)/f(x) = (x^2 - 4) / (x + 2) = (x - 2)(x
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-> SOLUTION: for the functions f(x) = x + 2 and g(x) = x^2 − 4, find the composite function and state its domain. Explain the mistake made.
g(x)/f(x) = (x^2 - 4) / (x + 2) = (x - 2)(x
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Question 132036: for the functions f(x) = x + 2 and g(x) = x^2 − 4, find the composite function and state its domain. Explain the mistake made.
g(x)/f(x) = (x^2 - 4) / (x + 2) = (x - 2)(x + 2) / (x + 2) = x -2
domain = all real numbers
thanks for your help! Answer by dkspoet(13) (Show Source):
You can put this solution on YOUR website! You can carry out the devision by f(x) if and only if f(x) is not equal to zero since devision by zero has no meaning in alzebra.
hence every thing done by you is right, only the above condition will be imposed on the domain i.e. f(x) is not equal to zero.
Hence x+2 != 0, i.e. x!=2
So the domain will be R-2 where R is the set of real numbers.
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