Use f (z) = Vz – I and g (z) 5z to find g (f (z)): %3D %3D V5z -1 O 5VE-I 05+ Va -I V5z 1

Q: For the function h (x) = (2x + 1)° find two functions, f and g, such that h (x) = f (g (x)). O a) f…

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Q: O Find f(-1) if f(0) = 2, f(1) = 9, f(2) = 28, f(3) = 65, f(4) = 126, f(5) = 217. %3D %3D %3D %3D

A: As per given data we can write f(0)= 13+1 = 2 f(1)= 23+1 = 9 f(2)= 33+1 = 28 f(3)= 43+1 = 65 f(4)=…

Q: 2x²-3x+7 7. Let f(x) = _ Find f(3). 5x2-2x

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Q: Let f(x) = - 4x- 1, h(x)= - X- 3. | Find (fo h)(4). (f o h)(4) =

A: Given  f(x)=-4x-1h(x)=-x-3 to find foh(4)

Q: 3x + 2y find 6xy -7 ah For the function h(x,y)= %3D I3I

A: The solution is

Q: f(x) = Va +9 – 10.

A:

Q: The dosage of a pediatric medication depends on the weight of the child. The function U(k) = 25k +…

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Q: find the fun Ction Y= f(x) that satisfies hp Jメ 8x² + 7 , 7, F (0) = -13 コ

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Q: Find f (VF + xJ dx

A:

Q: 2.r +10 1. Let g(x) = 36 (x) = 5x+4, and r(x) = /6x + 13. %3D %3D (a) Find g(-4). (b) Find (f –…

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Q: Let f(x) = - 9x + 12 and g(x) = x2 + 6. %3D Find f(5) + g(5).

A: Given that f(x)=-9x+12.       and g(x)=x2 + 6 find f(5)+g(5)

Q: Rationalize: 4x By 2 12y 3y 2x

A: Given query is to simplify the expression.

Q: 2x 4. Given the function F (x)= 3 do the following: 4.x +1 a. Find F-1 (x). b. Find dom F and dom…

A: Given,            The function is Fx=2x-34x+1.

Q: For f(x) = -3x² + 5x 2, find %3D f(x + h) – f(x) h+ 0 h

A: fx=-3x2+5x-2

Q: Find the axis of symmetry of the following function: f (z) = 4x² + 8z -- 20 %3D O 2=1 O z=2 2=-1 O…

A: C correct

Q: (b) Consider the non-stationary series {Xt}, Xt=t+St+ €t where St has period 2 and ~ iid(0, ²) and…

A: A non-stationary series Xt is given such that: Xt=t+St+εt where St has a period 2 and εt~iid0,σ2.

Q: 3x 8y Find f, and f, for f(x, y) = 2y 5x'

A:

Q: Let f(x) = x² 4. Find f(3 - V13) – 6x – . %3D

A: Given:            fx=x2-6x-4 Find; f3-13 f3-13 =3-13 2-63-13-4 Simplify using : a-b2=a2-2ab+b2 3-13…

Q: (1 point) Let f(z) = r² – 6x and g(x) = x-6. Evaluate the following: %3D %3D 1. (fo g)(z)= 2. (go…

A: Consider the functions f(x) = x2 - 6x and g(x) = x - 6 If f(x) and g(x) are the two functions then…

Q: 1) = 2 – E 4x and g(z) = z +

A:

Q: f(x+1): = 71 Sx+3 ZX-7

A: Step 1: Step 2: Step 3: Step 4:

Q: The function f(x) = 2(x-3)2 + 2 will be wider than y = x2. %3D True False

A: Here,  f(x)=2(x-3)2 +2and y=x2 is given. The graph of the functions is as shown

Q: Find f(0), if f(x)=3 – 5x + x2.

A: Given function is, fx=3-5x+x2. The objective is to find the f0. Function is described as the special…

Q: B. Let f(r) = and g(x) = VI+I. 1. Determine the domain and image of f and g.

A: on finding the domain and inage or range of the given functions we will get

Q: c) Find f(-1) if f(0) = 2, f(1) = 9, f(2) = 28, f(3) = 65, f(4) = 126, f(5) = 217. %3D

A: Newton's forward difference interpolation formula is, y(x)=y0+pΔy0+ p(p-1)2!    ⋅Δ2y0+  p(p-1)p-33!…

Q: Let f(x) = 6x – 10. Find each of the following: %3D f(a) = %3D 2f(a) = %3D f(2a) = f(a + 2) = %3D…

A: We have to find function value

Q: Suppose that f(x) = 6x + 7x 2. Evaluate each of the following: %3D

A: Here we have f(x)=6x-4+7x-2 .................................. (1)  Differentiate with respect to x,…

Q: Vhich function is equivalent to y = 2(r + 3)+52 %3D Oy = 2r + 14 Oy = 2x + 12a + 23 Oy = 2x + 12r+…

A: y=2(x+3)2 +5

Q: Let f(x) = V-36 - z and g(x) = a - 13z. fog= %3D The domain offogis:

A: Recall: A composite function  is created when one function is substituted into another function.…

Q: Let f(x) and g(x) = 2x +9. %3D Then (fo g)(1) (f o g)(x) %3D

A: Substitute g(x) for x in f(x) to get (f o g)(x). This also means: (f o g)(x) = f[g(x)] Substitute…

Q: Let f(x) = 4+ V2x – 5. Find f-1(æ). f-(2) = Check Answer

A:

Q: Given f (x)= 2x +1 and g (s3)=x*+2x-1, find (I+g) (3).

A: (f+g)(x) = x2+4xexplanation is given below