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## Homework Statement

let f and g are continuous functions show that max(f,g) is continious

## The Attempt at a Solution

the answer i gave is this

maxf(g)=h(x)

h(x)=f(x)==>f(x)-g(x)>0

h(x)=g(x)==>f(x)-g(x)≤0

thus h is continious

now in the text book they defined max with the normal definition

max=lf(x)-g(x)l+f(x)+g(x)/2

is my answer wrong?

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