Let and ond let F:Co, a) -R be a quactien that is and q =3 dipperenhable on Coja), and such Hhat Fle) =q; all IE Co, 0), F' = -9x°, Compute Fc3) 2. For

Q: If f(n) and g(n) are multiplicative functions, and g(n) does not equal 0 for all positive integers…

A: Definition 1 : A function f: ℕ→ℂ is said to be arithmetic function .   Definition 2 : An arithmetic…

Q: Find the requested function and state the domain. 6 (g o f)(x) for f(x) = and g(x) = 2-x 6

A: Given : fx = 6x6gx = 2-x

Q: Let f(x)=9x+8‾‾‾‾‾‾√f(x)=9x+8 and g(x)=x+9g(x)=x+9 be functions from ℝR to ℝR. Find the following.…

A: We will find out the required values.

Q: Verify that the factorization for f (x) = x3 + x2 + 1 over Z2

A: Given that, fx=x3+x2+1. Also ℤ2=0, 1 To verify the factorization for fx over ℤ2.

Q: Define Sx² – 5 if x 1 Calculate f(2).

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: Evaluate f(x) ƒ(1) = f(x + 7) = f(x) + f(7) f(x + h) = = = x + 2 at the indicated values.

A:

Q: Let f(x) = 2? + 3 and g(x) = 3x +5. What is f(g(-1))

A:

Q: Find The value of K, to Continue The Function X-2 - fx) = 4- VI4+X メ+2 メ=2

A:

Q: f(x) = 3x + 8 f(x) = - 2 *= 2 f(x) = -x? + 3x +9 x= -6

A: As per our guideline we are supposed to be answer only three subpart of question you can repost…

Q: f(x1, x2) = xỉ + 2.x1.x2 – 10x1 + 5x2

A: According to our company policy,  I am supposed to answer only one question at a time. For the rest…

Q: assume that a dress belt company produces only size 30 belts their belt specification is 30 inches.…

A:

Q: 9) Evaluate the piecewise function for x = -1 and x = 4. 2x + 1 if x 2 h(-1) = h(4) =

A: To evaluate the piecewise function for x=-1 and x=4.hx=2x+1  if x≤2x2-4  if x>2h-1=?h4=?

Q: If f(a) x* + 5, g(a) =-6 and h(z) a, then

A: Given: To find:

Q: Find the range of the function f(x) = x2-1 O [-2,21 R\[-1] R\{0}

A: Range of function

Q: Suppose f is a real function satisfying f(x + f(x)) = 4ƒ(x) and ƒ(1) = 4. What is ƒ(21)? f(21)=

A: Suppose f is a real function satisfying f(x+ f(x))= 4f(x) and f(1) = 4, what is f(21)?

Q: Rewrite each pair of functions. (g) and g(t), as one composite function, f(g(e)). (If not possible,…

A: To find f(g(t))

Q: The function f(x) multiplies its input by 6 and then adds 5. Construct a function g(x) that 'undoes'…

A:

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

A:

Q: Suppose f(x) = – x + 1. Compute each of the following.

A: Given,           fx=-x+1

Q: what should n be if f(x) = Xn defineof a polynomial function?

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.