#8: Suppose that an = as 8n a₁²2² +2a₂x³ + 3a3x²4 + 4a4x³ + ... (i) Σf(n)x"+2 n=0 (ii) g(n)x+1 We can write the expression (iii) Σ h(n)x" n=2 Enter the functions f(n), g(n), and h(n) (in that order) into the answer box below, separated with commas.

Q: Let f (x) = 2x +2 and g (x) = –3x+1 Find g(f(2)) O -17 O -18 O -35 O 18

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Q: If f(1) 10 and f(n) = –3f (n – 1) + n then find the value of f(4).

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Q: Suppose that 7 '(t) = and 7 (0) = . Find 7(t) 7(t) = <

A: Suppose that r→'t=12t,e0.2t,t and r→0=1,-1,4. Then we have to find r→t=?

Q: Suppose that j(x) = h¯¹ (x) and that both j and h are defined for all values of x. Let h(6) = 4 and…

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Q: (x – 2)²(x+3) (x - 1) (x+2) 6) Let R(x)

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Q: 3. Suppose that f and g are functions with the rules f(x) = 4x - 7 and g(z) = r. Find (f o g)(x) =…

A: The given function is fx=4x-7 and gx=x2

Q: If f (x) = 2 – x² +x° and ƒ(a) = 2, then all possible values of a are (A) 0 and 1 only (B) 0,1, and…

A: f(x)=2-x2+x3 f(a)=2 put x=2 f(2)=  2-22+23 =2-4+8 =6

Q: -2 3 A = :), f(x) = -4x + 2 5 3 ON(-20 10 -12 -10 0 3 OB ( ) 8. -10 -12) -18 35

A: Here we will find f(A),

Q: 3. 2. 4. LEA f(x) 192 2 6. -1 nisg(x) 0sbi bne gni2lot ent bnit 1 (x)04 x- 5 . Use the tables above…

A: a)Let us take  But from given table Since inverse of f exists , so f is one-one Therefore, we have

Q: In(x-1) 33 Differentiate with respect to x. 2x + 3

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Q: 2 – |- 2(x + 1) – –s-+ 3x X-3 5х-3

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Q: * Find the derivative lic F (+) = (+³-2+ +1) (2+²

A: Given query is to find the derivative of the expression.

Q: Find the equations of the asymptotes of R.

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Q: Suppose that an = 4" a₁x² + 2a₂x³ + 3a3x4 + 4a4x³. as 00 (i) f(n)x+2 n=0 00 (ii) Σ g(n)x¹+1 n=1 00…

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Q: -3 1] Find P(A) for p(x) = x² + x – 2 where A 2.

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Q: Suppose that the functions s and t are defined for all real numbers x as follows. s(x)=3x-2 t(x)=x-4…

A: The function s and t are defined as  sx=3x-2 tx=x-4

Q: O D. 2x + 2x+4 Find f(-x) when f(x) = 2x-2x+4. OA. O A. 2 +2x-4 O B. -2x +2x +4 OC. -2x + 2x-4 O O O

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Q: Show that if s(3) 4(q- _9−2+9(1+ 93 2(g-1) increasing or decreasing. For 3 > 0, q> 3

A: The given function is                               sβ=q-2+q1+4q-1qβ122q-1 where β&gt;0 and q&gt;3.…

Q: Question Is f(x) = a4n-2 „4n–4 + x4n-6 + ...+ x² – 1 divisible by g(x) = xª – 1?

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Q: Suppose f and g are two functions with nonnegative values. If f(n) is (n) and g(n) is (n³/2), then…

A: We have given that , f and g are two functions with non - negative values. If fn is θn. Also , gn is…

Q: L. nft 7r 2x+1 1 4) f(x) = 2 I- 3 < 1 f(1)= f(-2)= f(6)=

A: The given expression is:

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: Suppose L(x) = "x is a llama" and E(x) = "x is an emperor." Do the following to statements mean the…

A: Consider the given information:

Q: Suppose that F(x)=f(g(x)) and g(14)-2, g(14)-5, f(14)-15, and f'(2) - 11. Find F(14). O 17 O 55 O…

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Q: 1b. please express in the notation p(x)=d(x)q(x)+r(x)

A: Given that,   Where p(x) denotes a polynomial and d(x) denotes a divisor.   Q(x) is quotients and…

Q: Let f(x) 273 find f(") (x). O a. (-1)"(2+2)! 4743 O b. (-1)" '(2+2)! 4013 O c. (-1)" (2- 2)! O d…

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Q: 2. Let f: RR by f(x) = -2x + 1. Let A = [2,5] B = [-1,3] C = [−2,3] D = [1, 4]. Find each of the…

A: Here are the solutions:  Note:We have provided the best possible solution for you. Kindly, verify…

Q: 1. Let f(x) = 3x + 1, g(x) = 7 – 2x, and h(x) = x² – 4.x + 5. Find the following: a) (f + g)(2) b)…

A: 1. Given, f(x)=3x+1g(x)=7-2xh(x)=x2-4x+5