(a) Which of the following are functions? If f is not a function explain why. i. f :R →R with f(x) = ii. f : Z → Z with f(x) = 5 ii. f :R →R with f (x) = In(x) (b) Let f : R →Rand g : R +R with f (x) = x + 2 and g(x) = -x. Find gof, (go f)-', f-1 and g- (c) Let f : R' → R with f(x) = , where R' is the set of all real numbers different from 0. i. Determine whether or not f is a one to one function ii. Determine whether or not f is an onto function

Q: Find and sketch the domain of the function. MY NOTES ASK YOUR TEACHI f(x, y) = Vx – 6y 30 y 10 20 10…

A: First of all you will graph the equality that is respect to the given domain.

Q: 11. (a) State the largest possible domain of the following functions: opk fix → x-3 x+2 h:xx²+3…

A:

Q: 1. Is the following relation a function? If not, explain why. 2. Is the following relation a fur…

A: 1) From the given table, The element 0 in the domain set has two images 1 and 2 in the range set.…

Q: 3. Assume that f is one – to – one function. - a. if f(4) = 18, find f'(18). Explain. b. if f(88) =…

A:

Q: Q1. Let f(x) = V2-x,g(x)=/5+x, then find the following : (1) (F-g)(- 1) (ii) (iii) domain of…

A:

Q: 13x + 7 is x – 3 The domain of the function f(x) OR-(3}

A: The domain of a function is defined as the set of all input values for which the function is…

Q: Estimate f(-1.01, 2.01) given that f(-1,2) = -2, fa(-1,2) = -3 and fu(-1,2) = -5. f(-1.01, 2.01)

A:

Q: Consider two functions, f: R2 → R and g: R² → R, such that. • fis C² 2 4.5 = [33] ● g is defined by…

A: f:ℝ2→ℝ and g: ℝ2→ℝ f is C2 Hf4,5=2-1-13 g is defined by gx,y=fx-y,yx

Q: For what value of "a" will this relation NOT be a function? { (а, 3), (7, —2), (3, 7), (2 — 8), (-8,…

A: We have to find a values for which it is not a function

Q: Which among the folowing reletions are considered as functions? (You need to choose all the ccrrect…

A: Find your answer below

Q: 2. Consider the following four functions from R into R, determine if onto or 1-1 function. Support…

A: To find out which of the following function is one-one,  onto .

Q: Example 20 Let functions f and g be defined by f(x) = 2x + 1 and g(x) = x2 – 2 respectively. Find a.…

A: The application of one function to another function is known as the composition of functions.…

Q: -5 -20 -10 9- Which ordered pairs are included in f(x)? Included in f(x) Not included in f(x) 2.

A:

Q: 3. Consider f(x) = Vx and g(x) = x3 + 2, construct the following function. g(f(x)) f(x) g-'(x)

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Q: Find the domain of the function f(x) 8 х—10 O R O R- {12} O R-{-10} O R- {10} O R-{14} Clear my…

A:

Q: Let A = {1,2,3}, Define the functions f: A → C and g: B → C by f(1) = 7, f(2) = 9, f(3) = 7, g(4) =…

A:

Q: 7. Let A = (1, 2, 3, 4, 5) and define a function F: 9(A) Z as follows: For all sets X in P(A), 0 if…

A: Function value whose domain is a power set

Q: 1. Consider the table of values for f given below: 3 f(x) 4 6. 5. Find the value of (a) ƒ-'(5), (b)…

A:

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: Compute f(-4) for the function f defined below. x <0 f(x) = 1x2 - 9, x20 %3D

A: Given Function : f(x)=6xx&lt;0x2-9x≥0

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: B. Determine the function which coincides with f(x) for all values with the exception x = 5. (x² -…

A:

Q: Consider f (x) = 2/x and g (x) = x + 3. Determine whether the domain of fg is the same as the domain…

A: Find the domain of g and domain of fg seperately and compare them that they sare same or not.

Q: For what value of "a" will this relation NOT be a function? {(а, 3), (7, — 2), (3, 7), (2 — 8), (-…

A: The definition of the function is: Suppose y=fx is a function, then for each value of x has a unique…

Q: The function, f(x), is a 1-1 function with Dr: (-0,5] and Rf: (-4,6] U [7, 0). State the domain and…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Let f:R R be a function given by f(x)=x+1. The value of f[10,37]will be: Pick ONE option [3,6]…

A: Given function is: fx=x2+1 f3=32+1=9+1=10f-3=-32+1=9+1=10f6=62+1=36+1=37f-6=-62+36+1=37

Q: . (a) Let f: X→ Y and g: Y→ Z be functions. Show that go f: X→ Z is a function too. (b) If f: X→ Y…

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Q: $42] B. (-∞0.42) C. (-∞,21] C

A:

Q: Determine the intervals of concavity for the function 9(x) = xª – x³ - x³ – x² + 8x – 5. Note: If…

A: Concavity.

Q: Which of the following is the domain of the function g(x) 2-x 0(-00,2 O (-00, 0) O [0, ∞0) O (-0, 2)

A:

Q: For what intervals is the functionf(x) = concave up? %3D O The graph is concave up for the interval…

A: Given function is f(x)=1x Have to find out the interval for concave up

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…