Consider the following tables: -2 -1 1 2 3 f (x) 2 5 -3 4 -101 -2 2 g (x) 5 4 1 2 Fill in the blanks with the given format: (fog)(0) = f(g(0)) = f(1) = 4 %3D a) (fog)(2)= b) (fogl)(4)= c) (f-l og)(-1) = %3D 3. 3. 3.

Q: Given f(x) = 2x2 + 1 and g(x) = 6x - 8, find the followin %3D (a) f(g(2)) 33 (b) f(g(x)) (c) g(f(x))…

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Q: Given f(x) = x² + 3x + 9, find the following. HINT %3D (a) f(0) (b) f(1) (c) f(-1) (d) f(-3) (e)…

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Q: Evaluate exactly each of the following. a. f (3) c. h (3) d. (h- g) (3) 2 f.

A: Given:f(x) = x3, g(x) = 3x−2, h(x) = (1/x).

Q: 21 If f(x) = x - 4x + 2, simplify each of f(x + h) = f(x + h)- f(x) = %3D

A: For f(x+h) put x+h at x

Q: If f(n + 1) = f (n) + 5 and f (1) = 100, what is f(4)?

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Q: Let g(x) = 2x and h(x) =x- 5. Find the following. %3D (g + h) 4 (g + h) (Simplify your answer.)

A: Simplification of function

Q: Given f(x) = 2x² + 1 and g(x) = 4x – 5, find the following. %3D (a) (g(2)) (b) f(g(x)) (c) g(f(x))…

A: Given: f(x) = 2x2 +1;   g(x) = 4x-5(a)…

Q: If f(x) = 2x + 3x – 1, evaluate the following. %3D (a) f(a) (b) f(-a) (c) f(a + h) f(a + h) – f(a)…

A: Given, fx=2x2+3x-1 a) fa is found as follows: Substitute a for x in the given function.…

Q: A. FUNCTIONS 2 Given f(x) = 3x – 2 and g(x) =+, find each of the following: 3 (a) (f o g) (x) (b) (g…

A: If f(x) and g(x) are real valued functions then  (fog)=(fog)(x)          =f(g(x)) (gof)=(gof)(x)…

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: Let f(x) = 8 – 5x + 11x. Calculate the following values: %3D f(a) = f(a + h) = f(a + h) – f(a) for h…

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Q: find thevalue of (a) f (-1) and (b) f (3), if possible.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: If P(A) =0.55 and P(A and B) =0.22. A and B are independent, find P(B)=?

A: It is given that  P(A) =0.55  P(A and B) =0.22 Given, Event A and B are independent then, P(A and B)…

Q: = 4, fi(5) = -1, g(5) 2, and g (5) 25. If f(5) 2f(a) 3g(x) 3, find hi(5) if h(a) =

A: Differentiate the given function on both the sides with respect to x to get an expression for h’(x);

Q: Use the table below to find the following values. 1 3 4 f(x) 4 3 6. 5 g(x) 5 4 i (a) f(g(1)) = (b)…

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Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

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: Suppose f(x) = - 3x+5x + 6. Compute the following: %3D a) f( – 4) + f(2) = b) f( – 4) – f(2) =

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Q: For f(x) = 3x-9 and g(x) = find the following function 3 %3D a. (fo g)(x); b. (g o f)(x); c. (f o…

A: f(x) = 3x-9 9(x) = x+ 93 a) (f0g) (x) = f (g(x)  = f x+93 = = 3x+93-9= x+9 -9 =x(fog) (x) =x…

Q: 3) Use the functions f(x)= 12 - 2x and g(x) = 4x² – x – 7 to evaluate the following: %3D a) f(4) b)…

A: The given functions are fx=12-2x,gx=4x2-x-7.

Q: Use the table below to find the compositions: -9 -8 -2 -1 1. 4 9 f(x) 9(x) -1 9. 2 -2 4 -8 1 -9 -8…

A: We have to solve the problem

Q: Which function is equivalent to g(x) = x2 + 15x - 54? F g(x) = (x + 9)(x – 6) %3D G g(x) = (x+ 18)(x…

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Q: Which function is equivalent to, y = 4x - 16x + 11 y = 2(x + 4)2 + 6 y = 4(x – 2)² – 5 y = 4(x +2)?…

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Q: Use the table below to find the compositions: X -9 -7 -4 -3 0 1 4 12 f(x) -3 0 1 -4 -9 -7 4 12

A: (f°g)(-7)=f(g(-7)=f(-4)=1(g°f)(1)=g(f(1)=g(-7)=-4

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: Given the functions f(x) =x+3 and g (x) = what is the simplified form of (f g)(x)? X-3 Sog)x) = =…

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Q: 10. If CD = 5x – 2 and AB = 2x + 18, find %3D AB B.

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Q: For the given function f, f() = -2( )2 + 3( ) find the following and simplify as much as possible.…

A: For the given function f, Now,

Q: Let f(x) = -3x² and g(x) = 2x – 6. Find and simplify_the following. | g(f(x)) = b. f(g(x)) =

A: f(x)=-3x2, g(x)=2x-6a) g(f(x))=g(-3x2)=2(-3x2)-6=-6x2-6g(f(x))=-6x2-6