SOLUTION: f(x)=2x-5, g(x)=square root of x+6 (sorry not sure how to do a square root sign) Find fog, and then find the domain of fog. I got: 2(square root of x+6)-5 domain of g=[-6,inf

Question 833503: f(x)=2x-5, g(x)=square root of x+6 (sorry not sure how to do a square root sign)
Find fog, and then find the domain of fog.
I got:
2(square root of x+6)-5
domain of g=[-6,infinity)
domain of f=(-infinity,infinity)
domain of fog=(-infinity,-6]U[-6,infinity)
Would this be correct, and if not what would be correct?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
f(x)=2x-5, g(x)=square root of x+6 (sorry not sure how to do a square root sign)
Find fog, and then find the domain of fog.
I got:
2(square root of x+6)-5
domain of g=[-6,infinity)
domain of f=(-infinity,infinity)
domain of fog=(-infinity,-6]U[-6,infinity)
--------
Comment: That union would be All Real Numbers.
Wouldn't the answer be the intersection rather
than the union?
Cheers,
Stan H.
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