if h(x)=5-1/(srt)x+1, find possible functions f and g so that h(x)=(fog)(x). Do not use f(x)=x or g(x)=x

1 answer

I have no idea what (srt)x means. I'll take a guess it is sqrt(x) or √x. If I got it wrong, maybe you can clear it up.

h(x) = 5-1/√(x+1)

g(x) = 1/√(x+1)
f(x) = 5-x

h(x) = (f◦g)(x) = f(g) = 5-g = 5-1/√(x+1)

If you need to fix things a bit, it should be clear now how to tackle it.
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