Let f C D be a function, with C being the domain and D being the codomain. Show that for any C₁, C₂ C C f(C₁ C₂) ≤ f(C₁) nf(C₂)

Q: Let f(x) f-¹(x) = 1 x + 11

A: we need to find the inverse of the function.

Q: Draw the graph of the function f :R → R defined by f (x) = x3, x∈R.

A: We will make a table for f(x)=x3 x -1 0 1 y -1 0 1

Q: Determine whether the given set of functions is linearly independent on the interval (-o, ∞). f1(x)…

A: The solution is given as

Q: determine the continuity of the function at a.

A: The objective of this question is to determine whether the function f(x) = 1/(x + 2) is continuous…

Q: Determine and graph the domain set of the function f(x, y) = ln(x²+9y2-81) ==

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Q: Prove that the linear function f(x) = ax+b is continuous.

A: To prove that the given linear function is continuous.

Q: 3. Let f : A → B. Then 18f = f and f1a = f. Hint. You may use the fact that fg, for functions f, g,…

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Q: Let f(x, y) = √√/175 – 3x² – 4y² Evaluate f(1,4)

A: Given :To Find :

Q: Let f be a real-valued function continuous at the point a = (a1, a2) in R². Keep a2 fixed and define…

A: Given that f is real valued function and continuous at a=a1,a2 in ℝ2 and gx=fx,a2. To show : g is…

Q: Use the definition to prove that the function in f(x) = 2x-3 is uniformly continous.

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Q: Show that the function Arg(z) is not continuous on each point of the non-positive real axis.

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Q: Determine where the function f(x) = O A. (-∞, ∞) 1-00 O B. O C. O D. 3 3 3 (-∞0,²21) U ( 212,00) N/W…

A: we have to find out the values of x where function is continuous.

Q: 2. Let m and b be rea If fis both continuo

A: Topic:- calculus

Q: For Exercise, a function is given a. Find f(x + h). b. Find I* + h) – f(x) f(x) = x2 + 4x

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Q: let F be the function from R to R defined by: f(x) =x². Find f–¹({1})

A:

Q: Let f(x) = x³ – 6, – 3 < x < - 1 The domain of f- is the interval [A, B 1 where A and B = %3D

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