Which of the following correctly describes the end behavior of g(x) = -2x4 + 3x3 - x2 - 4? O A. As X → - 0, f(x)→ – ∞ and as X → 0, f(x) → –∞ O B. As X → - , f(x) → – ∞ and as X → 0, f(x) → 0 O C. As X → - o, f(x)→ 0 and as X → ∞, f(x)→ ∞ O D. As X → - o∞, f(x) → ∞ and as X → 0, f(x) → - OC

Q: 4. A sketch of r(x) is shown. Which of the following could be an equation for r(x)? a. r(x) = (x-a)…

A: The given graph of r(x) has zeros at point a , -b and  -c . For the zeros of r(x) , put  r(x)=0 .…

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: 4. Find (f-g)(x) if f(x) = -2x + 4 and g(x)=x²-3x+5. O (f-g)(x) = -x²+x-1 O (f-g)(x)=x²-5x +9 O…

A: Topic - Functions We are givenf(x)=-2x+4,g(x)=x2-3x+5

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: If f(x) = 3x - 5 and g(x) = x³ + 1 then g(f(1)) is a) 2 b) -2 O c) -7 Od) -124

A: f(x)=3x-5g(x)=x3+1

Q: If f (x) = 2 – x² +x° and ƒ(a) = 2, then all possible values of a are (A) 0 and 1 only (B) 0,1, and…

A: f(x)=2-x2+x3 f(a)=2 put x=2 f(2)=  2-22+23 =2-4+8 =6

Q: L 1. Find (f. g)(x) if f(x) = x²+2x+4 and g(x) = -2. O (f.g)(x)=x³-4x²-8x+8 O (f.g)(x)=x³+4x²+8x-8 O…

A: Find the (f•g)(x)

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: Convert f(x) = x² + 8x - 4 to vertex form O f(x) = (x+4)² - 20 O f(x) = (x-8)² - 4 O f(x) = (x+8)² -…

A:

Q: Let H(x)= " plays hockey". Let B(x) = "x plays basketball". Which statement below means "If everyone…

A:

Q: for f(x) = (x-1)3 and g(x) = 1 - 4x, find the following  a) (f o g)(x) b) (g o f)(x) c) f(f(x))…

A: (fog)(x) = f[g(x)].

Q: If f(x) = x*(3x + 2)°, find f(x). O x(3x + 2)7(11x + 8) O x³(3x + 2)7(36x + 8) O x³(3x + 2)7(20x +…

A:

Q: Let f(x) = 2x + 8, g(x) h(x) — 3х — 6. = x + 2x – 8,and Perform the indicated operation. (Simplify…

A: Given that fx=2x+8,gx=x2+2x-8 and hx=3x-6To find :f-gxSolution :f-gx=fx-gx=2x+8-x2+2x-8…

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: 2. If f(x)=((-4,4)(-3,0)(-2,8)(-1,-2)(0,-4) (1,5)) and g(x)=((-3,0)(-1,6)(1,-4) (3,-2)), determine…

A:

Q: Suppose f(x) = 9x 2 and g(x) = Vx – 2x + 6. - - (f o g)(x) = (f o g)(2) = %3D

A:

Q: If f(x) = f(-3) = f(0) = f(2)= 2x-1 x²+3 for x ≤0 for x>0 " evaluate the following.

A:

Q: If f(x) = - 3/2 and g(x) x + 2 2x² 3 6x + x² 3 6x + 1 1 2x + x² x + 6 2x² = X + 1, find (-1)(x) (x)…

A:

Q: What is the end behavior for this equation? f(x)=-3x² - 4x +7 As x-∞, f (x)→→∞, and as a →→∞, f (x)…

A:

Q: Let f(x) — За — 1, g(х) 1, g(x) x + 2, and - h(x) 3x + 4. Perform the indicated operation. (Simplify…

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.