Asked by ladybug
For the given functions f and g find the following and state the domain of each.
f(x)=sqrt x; g(x)=7x-3
A.what is the domain of f*g?
B. What is the domain of f/g?
Please show all work.
f(x)=sqrt x; g(x)=7x-3
A.what is the domain of f*g?
B. What is the domain of f/g?
Please show all work.
Answers
Answered by
Steve
domain of √x is x>=0
domain of 7x-3 is all reals
f*g = √x (7x-3) domain is now restricted to x>=0
f/g = √x/(7x-3) now the domain excludes values where the denominator is zero.
So, domain is all x>=0 except x = 3/7
domain of 7x-3 is all reals
f*g = √x (7x-3) domain is now restricted to x>=0
f/g = √x/(7x-3) now the domain excludes values where the denominator is zero.
So, domain is all x>=0 except x = 3/7
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