1. Given the functions, f(x) = and, g(x) a. Find fAg(4)). VT. = Vx. b. Find (g(x)). %3D %3D x+5 c. Find g((4)). d. Find g(fx)).

Q: 3. Which set of ordered pairs is not a function? a. {(1,0), (3, 2), (5,4), (4,7)} b. {(1,2), (2,7),…

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Q: 3 find the values of B. Given the following functions: f(x) = 3x + 2; g(x) = 3x² + 2; and h(x) %3D…

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Q: 1. Simplify the following. a. f(x) =2x - 3 -2(5x-4) b. f(x) = (4x 2 - 5) +(-2x²+3x-5) c. A(r) -…

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Q: 1) Draw the graph for the function Y = x³ and then find (D7) & (R). %3D

A: The graph of the function and domain and codomain.

Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

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

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Q: Given f(x) = 3x²– 12 and g(x) = 2x + 1. Find g(f(x)).

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Q: Q2. If f =+ then of and ду of

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Q: If f(x) = 5x+ 6-X, what is the ordered pair for x = 0 ? O (0,-1) O (0,10) O (6,0) (0,6)

A: Given that  f(x)=5x+6-x^2  To find the order pair at x=0

Q: Find fxy when f(x, y) = 8xeXy.

A: To find fxy when fx, y=8xexy.

Q: If f(x) = x² – 3 and g (x) = -x + 3, determine where g(x) > f(x). %3D %3D

A: To determine: Where the gx≥fx. Given: The functions are fx=x2-3 and gx=-x+3. Calculation: Substitute…

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: Find the x-coordinate of the point where the function f(x) = x5 5 - x4 7x3 13x² + - 6x 4 3 2 has a…

A: Given Find first derivative f'(x).Now equate f'(x) = 0.The x-coordinates of the stationary points…

Q: a. Find ux b. Find uy C. Show that u satisfies the partial differential equation xux + yuy = 3u. %3D

A: In this question we have to find differentiation for the for the following question.

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) = x? +1 and g (x) = vx + 2, find f o g. %3D

A: topic - functions

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: 4. Graph the functions f (x) = 2(x + 6)² + 2 and its inverse.

A: The given function is f(x) = 2(x+6)2 + 2  When we put x = 0, the value of f(x) comes out to be…

Q: Find grad f.

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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: 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: 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: 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: Specify the symmetry of the following functions: 10 (d) 0(x1, x2) = e-l#il X2+3

A: We need to find the symmetry of the function in part (d). We know that a function f is symmetric if…

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:

Q: The fixed point of the function f(x) = 9x – (2) 3× + x – 3 is: Select one: а. 4 b. 1 C. 3 d. 2

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