Let A = {0, 1, 2, 3} and define functions F and G from A to A by the following formulas: For all x ∈ A, F(x) = (x + 4)2 and G(x) = (x2 + 3x + 1). Is F = G? Explain.

Q: The function f is defined by f(x) = 2x +1. Find f(5x). f(5x) = 0

A: We can find f(5x) as below.

Q: For all functions f and g, f o g(x) = go f (x). O True O False

A:

Q: Use the table to answer parts a) and b) about the function f(x). x f(x) -85 -2 7 29 6 2 a) Evaluate…

A: Given table xf( x )-85-272962

Q: Let f be a function of x. Then f (10x) = 10 (f (x)). O True O False

A: the answer for the above statement is false. the explanation is given in the below step

Q: Evaluate  f(−7), f(0), and f(3)  for the piecewise defined function. f(x) =    x + 2     if x < 0…

A:

Q: The function f: RR defined by f(x) = 5x3 + 3x2-x + 7 is O(x). True False

A:

Q: x-3 d) f (x) = Vx-4

A:

Q: Let f(x) = m1x + a and g(x) = m2x + b, where m1, m2, a, and b are constants. Determine the necessary…

A: f∘g=g∘ffgx=gfxfm2x+b=gm1x+am1m2x+b+a=m2m1x+a+bm1m2x+m1b+a=m1m2x+m2a+bm1b-b=m2a-abm1-1=am2-1

Q: 3) Find domain of the following functions x+4 a) f (x) = x²+2x-8

A: Given function is: fx=x+4x2+2x-8 We have to find the domain of f(x).

Q: 19. Evaluate the difference quoatient: f(x+h)-f(x) h as much as possible: a.) f(x) = 2x + 7, b.)…

A:

Q: Let f(x) = 2x – 11 + 3(x + 2). Find all values of x for which f(x) is at most 0.

A: Solution: Consider the given function is: f(x) = 2x - 11 + 3(x+2) Simplifying the above we have f(x)…

Q: Find the domain of each function

A: Given: hx=xx To Find: The domain of the given function

Q: Let f(x) = 1 - (x + 3) + 2x. Find all values of x for which f(x) is at least 4.

A: Given that, fx=1-x+3+2x Need to evaluate the values of x for which f(x) at least 4 that is fx≥4

Q: Write the function ziv2 as a + ib (for a and b real-valued functions) and evaluate at z = (1 +…

A:

Q: Let f and g be defined by the following table:

A: The given table is : We have to find: f1-f0-g12+g1÷f-1·g2

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: Let f (x) = 35x. Determine all x for which f (x) = 27.

A: Given, fx=35x.   The objective is to determine the value of x for which fx=27.   So, the value of x…

Q: 2. Let f(x) = -x + 7 and g(x)=x²-2. Evaluate each expression. (a) f(g(1)) (b) g(f(6))

A:

Q: Let f : R → R, where f(n) = 5 . Answer the following questions. 7x²+3*

A:

Q: Find f+g and fg for the functions f and g given as; f (x) =x² + 1 and g(x) =x + 2, are functions…

A: From the given problem:   fx=x2+1 ; gx=x+2   So,   f+gx=fx+gx=x2+1+x+2=x2+x+3 Hence, f+g=x2+x+3.

Q: The cost C in dollars of manufacturing x bicycles at a production plant is given by the function…

A: topic- application of derivatives

Q: 2 V1-x*

A:

Q: Each function F has domain (0,1,...,23,24). Which function F satisfies the 5-to-1 rule? F(x) =…

A: A function f is said to follow 5-to-1 rule if for every value y in the range of f, there exists five…

Q: For all real numbers x, the function f is defined as f(x)= 7x – 9. What is the value of f (f (2)) ?…

A: We have to find