c1f(x)+c2g(x)+c3h(x)=0

Q: Let f(x) = x² + 6x + 2

A: Function is given by f(x) = x2 +6x + 2 To evaluate : fx+h - f(x) and fx+h - f(x)h

Q: The functions f and g are defined as f(x) = 2x – 1 and g(x) = x² +1. Which of the following…

A: h(x) = g(f(x)) is called composite function of f(x) and g(x).  Here the value of of function f(x) is…

Q: A college has a financial aid formula that applies to applicants whose family's income is below a…

A: Given, f(x)=15000+3000x , where x is the number of siblings and f(x) is the financial aid of the…

Q: If c is a non zero constant then the function is always differentiable x2 + c2

A:

Q: ind the intersection point for the following linear functions. f(x) = 2x + 3 g(x) = -4x − 27

A:

Q: Differentiate each function by applying chain rule. Match each item to a choice: y = x(x² + 3)² f…

A:

Q: For an electric car, the number of miles that can be driven powered by only batteries depends on the…

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: Evaluate the following: 1. f(-8)= 2. f(-1)= 3. f(3) = f(x) = x² + 2x x + 8 if x -1.

A: Given: f(x)=x2+2x  if x≤-1x+8      if x>-1

Q: the constants c1 and c2 such that: (3;5)=c1(1;-2)+c2(2;-3)

A: Given (3;5)=c1(1;-2)+c2(2;-3)

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)=…

A:

Q: ollowing statements is true? g(x)g(x) is the name of the function, x is the Dependent variable and…

A: The true/Correct statement among the given statements is : g is the name of the function, x is the…

Q: The quantity supplied of a good is the amount of product that a company is willing to make available…

A: Equilibrium price: The equilibrium price of a product is defined as the quantity supplied S(p) is…

Q: A homogeneous second-order linear differential equation, two functions y₁ and y₂, and a pair of…

A:

Q: Given the function ƒ, evaluate ƒ(−1), ƒ (0), ƒ (2), and ƒ (4). ƒ(−1) = Number f(x)= { x²-1 4+x-6| if…

A: The given function is

Q: The table below represents the inputs (x) and outputs [f(x), g(x), and h(x)] for three functions.…

A: Answer(a): Given that,  For function f(x), x-values and corresponding f(x) values. Write, these…

Q: If f(x+y) =f(x) +f(y) and f (1) =3, find f(2), f(3), and  f(4). Is f(x+y) =f(x) +f(y) for all…

A:

Q: A manufacturer of hot tubs makes two kinds of hot tubs - Bill and Jane. Bill requires 8 hours of…

A: Given that bill hot tub requires 8 hours of labor and Jane hot tub requires 12 hours of labor.Also…

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…

Q: Let f(x) = x² + x and g(x) = x – 5. Find each of the following: a. (f + g)(4) b. (f – g)(x) and (f –…

A: given f(x)=x2+x and g(x)=x-5 we need to find the

Q: If ƒ1x2= x2 + 1 and g1x2= x2, find ƒ ∘ g and g ∘ ƒ .

A: Given that, f(x^2) = x^2+1 g(x^2) = x^2