Not yet answered Marke Prove that f(x) = (x- 1) + (x +1)² is an even function. A function k(x) is an even function if even function as f(x)=f(-x) f(x) is an Choose...

Q: If f and g are differentiable at a , then f (x) + 4g (x) = I (x) + g (x)]. True False

A: Here, the given statement is  If f and g are differentiable at a, then ddxf(x)+ddxg(x)=ddxf(x)+g(x)

Q: Let f (x) = x2 - 3 and g(x) = 2x + 1. Find (fg)(2). 2) ***HINT: Start by first finding f (2) and…

A: The given functions are,

Q: Prove algebraic ally that any function of the form f(x)=ax2n+4 (where n is an integer) is symmetric…

A: The given function is fx=ax2x+4. To prove fx=ax2x+4 is symmetric to the y-axis, it is enough to…

Q: 1+x is even, odd, or neither. Show your work. |x| 2. Determine whether the function fx) = %3D

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Q: Let f(x) = (x-9)7 – 8, determine f¯¹(x). - ƒ¯¹(x) =

A: To find the inverse of the function f(x) = (x - 9)7 - 8, we need to express x in terms of y, where y…

Q: The sketch represents f(x) = x² + x – 6 and g(x) = -x – 3 P M

A: We have given functions  f(x) = x2+x-6  g(x) = -x-3 As we have given to solve for  f(x) < g(x)…

Q: Define f(x) = 2 – 3x? What is the domain of this function? (-00, 2) (-00, 2] [-3, 0) (-x0, 0) [0, 0)

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Q: f(x) = x* + x³ – 2x² For the above function state all intervals of x where f(x) is decreasing.

A: We know that if f'x>0 at a specific value of x, then the function f(x) is decreasing at those…

Q: If g(x) is an even function, then f(g(x)) is even. Is this false or true.

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Q: un 5 (2) = 2² - 82 and 9(2) = {-2₁" 22-5 x-1, x Evaluate(f/g) (7)

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A: Step 1:To show that the function f(x)=6x−2 defines a one-to-one (injective) function, we need to…

Q: f(x) = x* + x³ – 2x² For the above function state all intervals of x where f(x) is positive.

A: solve the following

Q: What is the function's end behavior? f(x) =x-3x3 +x - 3 Select all that apply. A → + 00, as x→ + 00…

A: We have to find the option

Q: A function f is defined by f(x) = 3x + 1. Find the following. (a) f(0) (b) f(4) f(-2)

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Q: he function f (x) is defined below. What is the end behavior of f(x)? f (x) = 8a® – 64x ³ – 640x? –…

A: Given query is to find the end behaviour of the polynomial.

Q: Use Intermediate Value Theorem to check whether f(x) x- 2x -1 has at least one zero between x= -1…

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Q: 2. The zeros of a function f(x) are 3 and 4, while the zeros of a second function g(x) are 3 and 7.…

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Q: For the function f(x) = (x+1)2x-3 g Locate all stationary points of f and determine where f is…

A: given function f(x)=(x+1)2x-3 We know stationary points can be calculated by f'(x)=0 and function is…

Q: x²x2 x - 3 ax + b -3 < x < 4 x³ + 4x x ≥ 4 Determine the values of the constants a and b that make…

A: The given function is,The function should be continuous so we can write,

Q: 5+x if x > 1 if – 2<x< 1 if x < -2 (A) ƒ(x) = {2 1– x2

A: According to the given function, fx=5+x, if x≥1 Thus, for x≥1, the graph of the function is a part…