Question: Determine whether these are well-defined functions. Explain. (a) f:R R, where f(x) = 3 2+5 (b) g: (5, 0) R, where g(x) H 7

= 3 2+5 (b) g: (5, 0) R, where g(x) H 7

Determine whether these are well-defined functions. Explain. (a) f:R R, where f(x) = 3 2+5 (b) g: (5, 0) R, where g(x) H 7 VI (c) h: RR, where h(x) = -7-4x + 47. For each of the following functions, determine the image of the given z. k(x) = smallest prime factor of z, x=217. k(a) = 3x (mod 11), ks (z) = 3x (mod 15), (a) k: N-{1} N, (b) k2: Z11 Z11, (c) k3: Z15 Z15, Z= = 6. 2= 6.

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