Show that the following subsets of C[0, 1] are isometric: X {fe C[0, 1]: f(1/2) >0} {fe C[0, 1]: f(1/2) < 0}. = Show that C[0, 1] and C[0, 2] are isometric. and

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Q: 3. Find the domain of the following functions: a.) f(x) = V1-x Inx b.) f(x) = Vx - 1lr

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Q: How many functions f:R→R  exists such that : 2f(x)+2f(y)=f(x+y)+f(x−y)+2y holds for all real x and…

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Q: If f is holomorphic on the D(0, 2) and f(x) = x4 – 2x² for all x = [0, 0.2], show that f(i) = 3.

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A: To show the given function is injective(one-one), first calculate the value of function at two…