If f(n) and g(n) are multiplicative functions, and g(n) does not equal 0 for all positive integers N, show that F(n) = f(n)g(n) and G(n) = f(n)/g(n) are also multiplicative.

Q: Find f(x) o g(x) and g(x) o f (x) for f(x) = x² + x - 3 and g(x) = x - 5 a. f (x) o g(x) = b. g(x) o…

A: Use composition of functions

Q: If f(x) = 7√√-3 and g(x)=√√x +9, what are the restrictions on the domain for the combined function O…

A:

Q: 7. Given f(x) = Vx, g(a) = x2 +6x +2 and h(x) =x +1, the expression for f(g(h(x))), in simplest form…

A: value=?

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: 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) = 4+ (5x +9)³. Find f¹(x) = (1) · (√(x − 4) – 9) Find (ƒ(2)) -¹ = (¹) · (√(x-4) – 9)

A:

Q: Let f(x) = 2x2 - 1 and g(x)= 1 + x². Find (f o f)(x). O x* +2x² +2 4 O 4x4 – 4x2 + 2 | 4 O 2x* + 4x²…

A:

Q: For the given functions, find (f o g)(x). f(x) = 5x + 1, g(x) = Vx (fo g)(x) =

A:

Q: Let f(æ) = a² + 3 and g(x) = 2x – 1. Which of the following is fo g(æ)? fo g(x)= 4x² +3 %3D fo g(x)=…

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Q: If f(x) = 2 and g(x) = x, find (ƒ – g) (x) I,

A: Given functions  We have to find (f-g)(x)=?

Q: Evaluate  (f ∘ g)(5). f(x) = 2x + 1 g(x) = x + 9 (f ∘ g)(5) =

A: f(x) = 2x+1 &, g(x) = x+9 So, g(5) = 5+9 = 14

Q: if g(6) = 8 and f(8) = 25, then (f ∘ g)(6) =

A: if g(6) = 8 and f(8) = 25, then (f ∘ g)(6) = Given g(6)  and f(8) values , find out the composition…

Q: -3x+7 for x < -1 Let g(x)=x² +3 for-1<x<4 5 for x ≥ 4 Evaluate: i. g(3) ii. g(-2) iii. g(-1) iv.…

A: Topic = Function

Q: Let f(x) = 2x + 3 and g(x) = 5æ² + 4x Compute and simplify the following. (f + g)(x) =

A: