Use the given graphs of f and g to evaluate each of the following expressions, or explain why they are not defined: a) f(g(2)) d) (gof)(6) b) g(f(0)) e) (gog)(-2) 0 9 2 c) (fog)(0) f) (fof)(4)

Q: State the domain and range of each function a) b) c) 3₂ f(x) 44 3+ 2 1+ 1+ 2 3 1

A: Domain : Domain of a function are those x-values for which the function is defined.Range : Range of…

Q: a. (fo g)(x); b. (go f)(x); c. . (fo g)(- 2);

A:

Q: 1) Find the natural domain for the following: x +6 f(x) = 8- Vx2 - 25

A:

Q: What is the vertex of the following function? f(x) = x² + 4x +3 (-1,4) (-2,-1) (4,3) (-4, 3)

A: Solution : Given that f(x) = x^2 + 4x + 3 For vertex of the given function , f'(x) = 0

Q: Let g(x)=31-x. Compute: a) g(2.3) b) g(2) c) g(-1)

A: Given that

Q: Evaluate the following functions at the given values, and simplify the resultant expressions: a) For…

A: As per company guidelines we are supposed to answer maximum three subparts from a question. for…

Q: Let f(x) 1 and g(x) За + 8. с — 2 Find each of the following: 1 a) f(g(6)) 24 b) f(g(x))

A: Given, f(x)= 3x+6 g(x)= 5x²+7x We know that, (g°f)(x)= g(f(x)) Substituting known values, = g(3x+6)…

Q: 1. Determine if the following relations describe a function. Justify your answer. a) R1 = {(1,8),…

A:

Q: Calculate the domain of the following function: a) h(x) = √x + 2 X+2 b)q(p) = 3p-40 c) P(x) = 100

A:

Q: Let f and g be defined by the following table:

A: The given table is : We have to find: f1-f0-g12+g1÷f-1·g2

Q: C. Use the table to evaluate cach expression: 2 3 4 3 5 4 f(x) g(x) 4 2 3 3 a) f(g(0)) b) g(g(1)) c)…

A: Recall: f∘g(x)=f(g(x)) f±gx=f(x)±g(x) f.g(x) = f(x).g(x) Note : According to Bartleby guidelines,…

Q: 5 Let f(x) = - and g(x) 7 Find each of the following: x - 8 b. the domain of f – g. | а. (f — g)(x)

A: Assign the function f=5x=5x-gxxAssign the function g=7x-8=5x-7x-8=-2x-40xx-8

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

A: Given  f(x) =x3+3x+17

Q: Compute each expression, given that the functions f and k are defined as follows: f(x) xm6 k(x) 2,…

A: Solution:   Given functions,   f(x) = 5x - 6   K(x) = 2   (fk)(x) = 10x - 12   (kf)(x) = 10x - 12

Q: 11. Decide algebraically if the functions given below are even, odd, or neither. a) f(x) = -7x - 3x3…

A:

Q: 5. Determine the domains of each of the following functions. State your answers in set-builder…

A: To find the domain

Q: Graph the following functions using the console (Xcos)

A: We have to graph the given function.

Q: If f(x) = x + 6 and g(x) = x² - 5, find the following. b. g(f(0)) d. g(f(x)) a. f(g(0)) c. f(g(x))

A: We are authorized to answer three subparts at a time since you have not mentioned which part you are…