4. For the following two functions f and g, determine go f and fog. f: R → R X →sin (3x) 9: R → R X ↑ е {e=¹², if x = -2 if x -2

Q: 3a.

A:

Q: 3. Determine if the following functions are one-one. Explain why. •f: R R f(x) = (x - 2)² ● f:R R…

A: one- one function :Let f be a function which is one one if        x1≠x2   ⇒  f(x1) ≠ fx2 for every…

Q: uppose the temperature of coffee changes with time as shown in the following table Time (minutes…

A: Step-By-Step solution of the question is given below.... Suppose the temperature of coffee changes…

Q: 3. For f(x) = x ² - 5, find f(x + h).

A: We have to find fx+h for the given function: fx=x2-5 In this case we just have to replace the value…

Q: 4. For the following two functions f and g, determine go f and fog. f: R → R X →sin (3x) 9: R → R X…

A:

Q: Evaluate the following functions. 1. Iff(x) = x? - 2x +7, find a) f(0), b) f(2y+1). 2. If F(y) = vty…

A: Given:1. fx=x2-2x+72. Fy=yy-32

Q: 1 For what value of x does the function g(x) = 3x³ – 2x² concave downward? A. x ≥ −1 B. x 20 D. x ≤…

A: Given function is g(x)=13x3-2x2. Differentiating with respect to x we get, g'(x)=ddx(13x3-2x2) or,…

Q: d. L-1 f. L-1 h. L-1 1 - 3s 3s²-5 S-7 - 10s + 29 s²+2s 4 s4 +25³ +5²

A:

Q: For each of the functions y = f (x) described below,find f (2).

A: f(2)

Q: Which of the following is an increasing function on R? A. x2 В. —2х C. cos x D. x3

A: Let's Solve, Answer : Option D

Q: 3 Let ƒ(x) = (x−7 −7)³ – 9. Determine the inverse function f-¹(x). Ensure that you use brackets…

A:

Q: 23. Given the following functions, find g(f(x)) and state its domain. 3x + 1 f(x) = : 2х — 5 бх — 4…

A: See the answer below

Q: F. Determine the following given that 1. f(g(x)) 2. g(f(x)) 3. f(g(-1)) 4. g(f(2)) f(x)=x²+x-3 and…

A: As per our guidelines, we are supposed to answer only one question with three subparts only. since…

Q: Given that f(x) = 2x3 and g(x) = 6x - 1, i. calculate the value of f (5). ii. derive an expression…

A:

Q: b. Find the inverse of the function y = f(x) = x + 3. (verify your answer).

A:

Q: Use the functions to find (f + g)(5). ƒ = {(4,8), (8,5), (5,9)} and g(x) = 3x + 8

A: Given : f = 4,8,8,5,5,9gx = 3x+8

Q: 4. y = V6 – 7x

A: Definition used -                         Power rule of derivative -…

Q: Q5. For each of the following functions find the inverse of the function. Verify your result. f (x)…

A: Explanation of the solution is given below...

Q: Find the inverse function and the domain and range of both f(x) and f-(x). Dr-1:. бх + 5 f (x) = X -…

A:

Q: 3b.

A:

Q: 1. Find the Inverse of the function f(X) = X + 19

A: Given : f(x) = x + 19, we want to find the function f-1 that takes the value y as an input and spits…

Q: Consider the functions y = (x - 2)² +3. 13. a. Find the inverse of the function. b. Find f-¹(-4). If…

A:

Q: Which of the following gives the formula for the inverse of the function x + 3 f : R \ {-7/2} → R \…

A: I am attaching image so that you understand each and every step.

Q: 2) a. Find the inverse of the function, b. Show that the function f: R> R defined as f (x) = 13x –…

A:

Q: Find the values of c and d that make the function 6x if x 2 continuous. с — d =

A:

Q: 3. For the Functions f (x) – 3x – 4 and g (x) = x+2, find the following and detemine the domain in…

A:

Q: 2. Count the number of different one-to-one functions f : {0, 1}' → {0, 1}'. Justify your answer.

A: The solution are next step is

Q: 20. Find the inverse of the function f(x) = 3x - 7

A: