Let f(x) = x² + 4 and g(x) = 4x + 3. Evaluate the following: %3D %3D 1. f (g(0)) = %3D 2. f (g(1)) = 3. g (f(0)) = 4. g (f(1)) = 5. f (g(x)) = 6. g (f(x)) = 7. f (f(x)) = 8. g (g(x)) =

Q: Find the second derivate of f(x) = 4 + 3e-* %3D A 3e* F 3e* C -3 -3e-* 9e-* H -9e-*

A: To find the second derivative of the following function f(x) = 4 + 3e-x

Q: Evaluate the composite function given that f(x) = 3x +5 and h(x) = Vx+3. (fo h)(6) (fo h)(6) =…

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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: Suppose: h(x) = 4x3 + 5x2 +2 and f(x) = 3x- 5 %3D %3D 9. Evaluate h(1) = 10. Evaluate f(1) = %3D 11.…

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Q: Suppose the point (5, a) lies on y = f(x), the point (b, c) lies on y = g(x) and the point (2, -8)…

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Q: Given that f(x) = x² 5x and g(x) = x – 4, calculate %3D - (a) fo g(- 4)= (b) g o f( – 4)= > Next…

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Q: Let f(x) = 2x - 1, g(x) = 3x, and h(x) = x² + 1. Compute the following. %3D a. f(g(-3)) b.…

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Q: Let f(x) = x and g(x) = 6x – 15. %3D Find the following: (a) f(3) + g(3) = i %3D (b) f(3) g(3) = i…

A: topic - functions

Q: Find three functions f,g,h that satisfy: f(g(h(x)) = 2

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Q: If the parent function y = T is shifted 4 units to the left and 3 units down, the new function would…

A: If the parent function y=x is shifted 4 units to the left and 3 units down, then we have to form the…

Q: Suppose f(x) = - 2x + 3. Compute each of the following. f(4 + 6) = f(4) + f(6) = %3D f(4 6) = f(4) –…

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Q: If f(x) = x² + 5 and g(x) = x – 4, evaluate the following %3D f(6) a. b. g(6)

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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: X If f(x) = /x, g(x) = 3 and h(x) = 3x + 9, find f(g(h(x))). |

A: Given the functionsf(x)=x,g(x)=x3 and h(x)=3x+9

Q: fx) 1 A. f(x) = 2x2 + 8x + 1 B. f(x) =-2x²-7x + 1 .4 %3D -3 -5 C.f(x) = 3x² + 9x-11 D. f(x) =-6x² +…

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Q: If f(x+y) =f(x) +f(y) and f (1) =3, find f(2), f(3), and  f(4). Is f(x+y) =f(x) +f(y) for all…

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Q: Given the function f(x) = 6x² – 4æ + 1. Calculate the following values: f( – 2) = f( – 1) = %3D f(0)…

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Q: a. Find h(k(- 2)) b. Find h(k(x)) c. Find k(h(- 2)) d. Find k(h(x)) 3. Consider the functions, m(x)…

A: In this question we will use basic of calculus i.e concept of composite function. We will simply…

Q: ALL WORK MUST BE SHOWN Let f(x) = 2x - 1, g(x) = 3x, and h(x) = x² + 1. Compute the following. a.…

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Q: Let functions f(x) = [x] g(x) = [x] %3D %3D (gof) -(fog) 3. %3D 3.

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Q: Let f(x) = 5x +1 and g(x) = X-1 Simplify the expressions f g g(f(4)), and g(f(x)). ...... g(f(4)) =…

A: The objective of the question is simplify the composition function at given point.

Q: 7. Given f (x) = 4 +3|2x + 4|, find f (-3). %3D

A: Given that f(x) = 4 + 3 |2x + 4| We need to find value of f(-3). Now, Put the value x = -3 in given…

Q: For #8,9: Let f(x) = x² + 4 and g(x) = 2x- 5. 8. Find (f + g)(2) 9. Find (fg)(3)

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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: 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: b. Given f(x) = 3x + 2, g(x) = 2x² – 4x and h(x) = x-x+ 7, find (g + h) (-1/2). %3! %3D

A: Given: f(x)=3x-2, g(x) = 2x2 -4x and h(x) = x2 -x+7 To find: g+hf-12 This can be defined as follows: