How many functions f: {1,2,3,4} {1,2,3,4} are there satisfying: a. f(1) = 1 or f(2)= 2 (or both)? b. f(1) # 1 or f(2) # 2 (or both)? c. ƒ(1) ‡ 1 and ƒ(2) ‡ 2, and ƒ is injective? d. f is surjective, but Va E {1,2,...,4}, f(x) = x? A A J F

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Q: d. L-1 f. L-1 h. L-1 1 - 3s 3s²-5 S-7 - 10s + 29 s²+2s 4 s4 +25³ +5²

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Q: of Əf Find and дх ду Əf дх — II for the following function. f(x,y) = (5x – 2y)5

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Q: ƒ(x) = x³ + ac + (ab+c)x+ (a+b)x²

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Q: 2. The functionsf and g are defined on R by f:x + 2x-1 X-2 A B g:x 2 C g:xH x+1 D g:x+

A: Under the given conditions we need to find the function g :

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Q: Consider functions f: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} →→ > {a, b, c, d, e, f}. How many functions…

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Q: Let g : A → B and f : B → C be functions. If f ◦ g : A → C is 1-1, then g is 1-1.(a) Prove this…

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Q: XI. Refer to the functions f, g, and h defined here. f(x) = 1/x, g(x) = 2 vx, and h(x) = x2 -1…

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