Find the domain. f(x) = 7x - 1 O {x[ x is a real number and x + 0.1428571 O {x[ x is a real number and x # -1} O All real numbers O {X[ x is a real number and x # 7}

Q: Find the the domain of the function f(x) x2 + 4x 45 - O {x | x -9 and x # 5} O(XI x # -45} OXI x -7}…

A:

Q: Consider the operation (#) for all real numbers which is defined as follows: for real numbers a and…

A:

Q: f (x) = x - 3x +1 and g(x 4x2 + x +5. Which one of the Let following expressions is equivalent to…

A: To find f(x)+g(x).

Q: Let f(x)=2x12, g(x): x-3, and h(x) = 2x2-4x-6. Wiite a formula fuY each of the following functions…

A: topic - functions

Q: A8. (a) State (without proof) the Intermediate Value Theorem. (b) Use the Intermediate Value Theorem…

A:

Q: X4 none of these X (c) f'(x) does not exist.

A: f''(x) = 0  at sharp corner f'(x) does not exist for f'(x) = 0 , tangent line is horizontal

Q: Suppose that the functions s and t are defined for all real numbers x as follows. s(x)=2x+5 t(x)=3x…

A: Step 1: Given functions: s(x)=2x+5, t(x)=3xwe have to find the expressions: (s⋅t)(x), (s+t)(x), and…

Q: If 50 f(x) dx exists, then f(x) da exists for every real number b> a

A:

Q: - Let f(x) = -1+x + 2x² – 2x³ – x* + x5. Which of the following statements is true?

A:

Q: 2 For 1 X+ 1 and g(x)=, find b. the domain of fo g a. (fo g)(x): a. (fo g)(x)= (Simplify your…

A: Answer: (fog)(x)=2/(x+2)

Q: Prove that if |x-1| < 1, then x² - 2x + 5| < 8.

A:

Q: 4. Find all real values of x such that |x-1| > |x+1]. * (-00,-1] (-00,0) [-1,0) [-1,1) None of the…

A:

Q: Suppose f(x) = x 2 +3 and g(x) x - 2. Which of the following is a formula for (f - g)(x)? O (f -g)…

A:

Q: f(0.5) = 0 and f( -1) = 6 indicates that: * O There is no remainder when f(x) is divided by 2x - 1 O…

A: Answer is first option.

Q: If U = {1, 3, 5, 7, 9, 11, 13), then which of the following are subsets of U. pick two three {5, 11,…

A:

Q: Find functions f and g from the set of positive integers to the set of real numbers such that f (n)…

A: Here, we need to find functions f and g from the set of positive integers to the set of real numbers…

Q: min xí + x1x2 + x2 X2 2 0 St{x1 + x2 < 3

A:

Q: Part J only

A: Note: Since the student has mentioned to solve only part (j), so we are solving accordingly to part…

Q: Which of the following statement is always false? (a) For all integer x, [x] = [−x] (b) For all odd…

A: We have to check which of the given option is always false. a Given that  for all integers x,  x=−x.…