2. What are the Domain, the Codomain, and the Range of the following functions. •f:R→R f(x) = x² + 2 •f: Z→R f(x)= x² + 2 •f: Z→Z f(x)=x-3 •f: R+ → R f(x)=√x

Q: 2. Explain why the function is discontinuous at the given number a. i. ii. 1 (x-1)² f(x)=--…

A: Definition of Continuity-: A function is said to be continuous if it satisfies the following…

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: 12. For the function f(x) = x² + 10x + 7, x ER, find any global maxima or minima points

A: If y=f(x), then the independent variable x is called the input of the function and the dependent…

Q: 8. Find f-1 (x) for f (x) = 2-4

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Q: 1. Given the functions, f(x) = and, g(x) a. Find fAg(4)). VT. = Vx. b. Find (g(x)). %3D %3D x+5 c.…

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Q: 1. How to define the function, f(x, y) = 15x+4x*y+15y 3x+3y to make it a continues function?

A: We have to find the given function is continuous.

Q: 1. Find the following for the function f(x, y) = 3x³y² - 5x + 26y - 9.

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Q: - h)? + k: a). f(x) = 2x² –12x+11; b) y = -r+x+:

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Q: 3.) flx) x+2

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Q: 3.) For the functions f (x) = v16 – x and g(x) = 2x – 8 find (x) and give its domain in interval -…

A: It is known that fgx=fxgx.

Q: Determine the domain 1 1.) f(x) z+5 2.) g(z) = Vz+5 3.) p(z) 2– 6x

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: 4. Evaluate the functionf(x) = x² + 1 and g(x) = x - 4. Find a. (fᵒg)(3) b. (gᵒf)(1)

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Q: 7. Find the Domain of cach of the following functions. a) f(x) =2-V-4 b) f(x) =5x² - x+17

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Q: 1. Find the fixed point(s) of the function g(x) = 32³-62²-1+4 on the interval [0,4]. (Answer: √2/3,…

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Q: 11b. Consider the function f(x)=5x* – 4x³ +4. Isƒconcave up or down at the point x = -0.2? A.

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Q: 6. Given the functions y = f(x) and y = g(x), determine () (2) and determine the domain and range of…

A: Given two functions f(x) and g(x): Graph of function f(x):

Q: 1. A quadratic function is defined by f(x) = 2x + 6x - 20. Which of the following expresses f(x) as…

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Q: Fxy(x, y) is a monotonic and non-decreasing function of both x and y.

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Q: If f(x) = v(x - 1)/ (x - 9), then the domain of f is given by the interval A. (1, +00) B. (-3, +3)…

A: The given function is  f(x) = sqrt[(x - 1)/(x2-9)]

Q: Find the autocorrelation function for the following functions. -1 2 -1

A: The mathematic expression of the first signal in its period is written as: x1t=tT   for 0<t<T…

Q: 4. For the functions f(x) = Vx -3 and g(x) = Vx+2, find and detemine the domain in ease case. a. gf…

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Q: 3. Determine whether the following function is odd or even. a) f(t) = t² + 2t + 2 b) h(x) = 5x7 +1…

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Q: 1. Find the domain of f(x) = v2 + 5.x – 3x².

A: The domain of a function is the set of input or argument values for which the function is real and…

Q: 1. Write the domain of the following functions and draw a corresponding picture. f(x, y) = In(y-x)…

A: To find the domain of the function  f(x,y)=y−x2ln(y−x)​, we need to identify the values of ( x ) and…

Q: 3. Is the function given by (x²-4x-5, x<5 F(x)= x+1, x25 continuous at x = 52 why or why not ?

A: Given function, f(x)=x2-4x-5;x-5;x&lt;5x+1;x≥5; The objective is to tell whether the function is…

Q: Find the following. Let f(x)= x+1, g(x)= 2x, and h(x)=x-2. a. (h o h) (x) b. (f o g) (x) c. (g o h)…

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Q: find the domain of  f(x)=√ 2x+3 1. x ≥ 0 2. x ≥ 2/3 3. x ≥ -  2/3 4. x ≥ 0

A: we have to find the domain of f(X)

Q: Write the domain in interval notation. 3) y (t)=√√√8-t 4) f(x) = x - 4 x-5

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Q: 5. Find the domain and range of the following functions algebraically: (a) y = 1+ v7x – 2 (b) y = (x…

A: a) y=1+7x-2Domain:- Domain is the set of all value of x by which functiion is define.Range :- Set of…