SOLUTION: For the real-valued functions g(x)=√2x+18 and h(x)=x-5 , find the composition g∘h and specify its domain using interval notation. any help greatly appreciated.

Algebra ->  Functions -> SOLUTION: For the real-valued functions g(x)=√2x+18 and h(x)=x-5 , find the composition g∘h and specify its domain using interval notation. any help greatly appreciated.      Log On


   

Question 939774: For the real-valued functions
g(x)=√2x+18 and h(x)=x-5 , find the composition g∘h and specify its domain using interval notation.

any help greatly appreciated.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
For the real-valued functions
g(x)=√(2x)+18) and h(x)=x-5 , find the composition g∘h and specify its domain using interval notation.
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goh = g[h(x)] = g[x-5] = sqrt[2x-10]+18
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Domain::
Solve:: 2x-10 >= 0
Domain:: x >= 5
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Range:: y >= 18
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Cheers,
Stan H.
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