Which of the following functions are onto functions? Of:Z {0, 1, 2, 3, 4}, where f(x) = x % 5 Of:Z Z, where f(x) = x+3 Of:Z- Z, where f(r) = 2 using computational integer division.

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: Describe the transformations for f(x) = 4log[- 3(x − 2)] + 1 from its base function.

A: The function .To Find:Describe the transformation of the given function.

Q: f(x) The quotient, denoted by 2, is the function denoted by 2(2) = g(x) excluding the values of x…

A: Given that the quotient, denoted by fg, is the function defined by fg(x)=f(x)g(x) , excluding the…

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: 2. Which shows that f(x) = 5x² -2 and f-¹(x)=√√2 are inverse functions? O522 -2= *52…

A: If f(x) and f -1(x) are inverse functions then  (f∘f -1)(x)=(f -1∘f)(x)

Q: O Cubic function O Exponential function O Quadratic function O Linear function

A: exponential function can not be consider as polynomial function

Q: Construya el polinomio para la funcion de la tabla de datos mostrada (c) f(x) 12 -3.4 12.5 -3.5 13.1…

A: We use Lagrange's interpolation here to construct the polynomial for the data table function shown.

Q: Let f(z) then for all real number the power representation of f is Select one: O True O False

A: Recall : 11−x=∑n=0∞xn=1+x+x2+x3+…

Q: find the domain of composite functions, using additiona, subtraction, multiplication, and division.…

A:

Q: Consider f(x) = 99x2 − 100x + 101 and let x0,x1,x2,x3 be distinct. Without referring to the divided…

A: Let f(x)=99x2−100x+101 and x0,x1,x2,x3 be distinct.We can find the values of f[x0,x1,x2] and…

Q: Let f(x) = x²-1 and g(x)= V15 – a Find the the natural domain o the function gof(x)

A: we have to find domain

Q: Create a table of integer values for x = -2 through x = 2 for the given funct f(x)=x²-5

A: Topic:- algebra

Q: Indicate with true (T) or false (F) whether the following functions are polynomials. f(x) = x+ 2.…

A:

Q: Find the degree of homogeneity for the following function. f(x1 , x2) = x31 + x1x2

A:

Q: 2. f(x)= 2x³ – 7

A: Given function is f:ℝ→ℝ such that fx = 2x3 - 7

Q: Two similar, but different ones. Consider the function f(x)=exp(x). Let p in P, be the interpolation…

A:

Q: X 3x + x*+ 2

A: # (a) part seems incomplete. Therefore solving the second part The given function is…

Q: c. Suppose Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's…

A:

Q: Determine the composite function for each of the following. a. Given that f(x) = 6x² – 2x – 4, and…

A: a) Given: fx=6x2-2x-4  and gx=x+2To find: fgxb) Given: fx=6x2-2x-4  and gx=x+hTo find: fgxc) Given:…

Q: Find the largest possible domain of each of the following function. 2x4 + 5x3 + 14x² + 11x – - 27…

A:

Q: et f(x) = 2x³ 4x² + x - 1 23 a) Use division to rewrite the function as individual terms with…

A:

Q: Find the composition f[g(x)] if: O 2-3u10 (10 - 15x2)5 O f(u) = u5 and g(x) = 2 - 3x² (2-3x²)²…

A: fu=u5 , gx=2-3x2