Let f(x)=2x^2+x-3 and g(x)=x-1 perform the indicated operation, then find the domain. f/g(x)
Mathematics · College · Wed Jan 13 2021
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Given the function:
f(x)=2x^2+x-3 and g(x)=x-1
Perform the operation: f/g(x)
Solution:
Equate the given functions in a representation.
f/g(x) = 2x^2 + x - 3 / x - 1
Expand the values in the numerator, or represent it in its factored form.
f/g(x) = (2x + 3)(x - 1)/ x - 1
cancel out x - 1.
f/g(x) = 2x + 3
Final answer:
f/g(x) = 2x + 3