Given two functions f and g. Suppose that f is defined by f(x) = 1 if x + -1 if x: I+1 -1 and g(x) = 1 for ER\{-1} Then the functions f g. OTrue O False

Q: Which of the following expressions has a domain that is a subset of the domain (i.e. set of all…

A: We can find the domain of each function and then find the answer.

Q: ent 4 K Rewrite the following expression in terms of the given function. tan x - 1 + sec X tan x - 1…

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Q: 8) Find the inverse of the following function. f (x) = {(-3,6), (-2,5), (4, 2), (–4, 1), (5, – 5)}

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Q: Which of the following equation defines a function? O 9z + 9y = 2 O 9z + 9y = 5 O 9z? + 9y = 16 O -…

A: We have to find the function

Q: (x+ 1)(x-4) (x+ 1)(x+ 5) The function is not defined when x =

A: Given that  Function = (x+1)(x-4)(x+1)(x+5)   We know that  01 =0    ;     10 =Undefined    ;…

Q: a. Find all functions from {0, 1} to {1}. b. Find two relations from {0, 1} to {1} that are not…

A: We have the domain is A=0,1 and the range is B=1 First we find the relations from A=0,1 to B=1: The…

Q: Q.5 Determine whether f and g are inverse functions when f(x)=Vx-2 and 8(x)=x² +2

A: Given function,y=f(x)=x-23g(x)=x3+2

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: Suppose that the function h is defined, for all real numbers, as follows 1 3 h(x)= 2 x-5 if x #2 if…

A: Given function is h(x)=x23 if x≠22 if x=2We have to find the value of h(-2),h(2) and h(4)

Q: 5(x) = 1 ? x2+3 Which of the following is the value f(x + h) for the function f ( x x+h x2+3 1…

A: Our Aim is to tell the value of f(x+h) for the function f(x)=1x2+3-(i)

Q: Refer to the functions f and g and evaluate the functions at x =-2. f = {(2, -1), (1, 1), (-4, -6),…

A: (f+g)(-2)=f(-2)+g(-2)  Substitute   f(-2)=-8  ,    g(-2)=-5in the above equation

Q: Let f (x) = + 6 . Evaluate f(-6). 2 (2 f(-6) = Number || 1/2

A: Given f(x)=-1212x+6   To Evaluate f(-6)=

Q: Let f (x) be the function given below. Find all x values where f(x) is discon- tinuous. A. x = 2,3,4…

A: Step 1:Step 2:Step 3: Step 4:

Q: Let f and g be the functions defined by the tables below: f(x) g(x) 4 4 3 2 1 X 0 123456 0 -1 -2…

A: Given,            Let f and g be the functions defined by the tables below :           To find :…

Q: Match three of the below statements to the definition of f that makes them true, and identify the…

A:

Q: XI. Refer to the functions f, g, and h defined here. f(x) = 1/x, g(x) = 2 vx, and h(x) = x2 -1…

A: Using rules of functions.

Q: Let f be a function of x. Which of the following statements, if true, would guarantee that there is…

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Q: (a) Calculate lim f(x) if it exists. If it does not exist write “DNE”. x→4 lim f(x) x →4 - (b) Find…

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Q: 8 Evaluate the following question for f(-2): f(x) 3x + 2

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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: (5) Given f(x) -2r and h(x)= simplify using the following operations: Write answers in standard…

A:

Q: Make a table of values for f(x)=x²- 4 showing function values for x = 4, 6, 8,....

A: It is given that the function is fx=x2-4. We have to find the value of this function at different…