Posted by **fatima** on Saturday, September 22, 2012 at 11:44am.

show that the composition of two increasing functions is increasing

- precalculus -
**Steve**, Saturday, September 22, 2012 at 3:54pm
(fog)(x) = f(g(x))

f(x+h) > f(x) if h>0

g(x+h) > g(x) if h>0, so g(x+h) = g(x) + k for some value of k

consider f(g(x+h)). g(x+h) > g(x), so

f(g(x+h)) > f(g(x))

so, increasing

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