If  f and  g are both even functions,f+g  is even? If  f and gare both odd functions, f+g is odd? What if f is even and gis odd? Justify your answers

Q: Determine the function f satisfying the given conditions. 3x2 2 f'(x) = -25 f (3)= 2 f (x) =

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Q: Consider the following table of values. X f(x) -4 -2 0 0 6 4 Use the table of values of the…

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Q: If a function is defined as f (x) = 2x + 3, find the value of f (4). %3D f (4) = %3D

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Q: Consider the function f (x) = ||x – 3| – 2| f (3) is the following

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Q: Suppose that f and g are both odd. Which of the following functions are even? Which are odd? y = f…

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Q: If f(x) and g(x) are two functions defined by f(x) = √(x + 1) g(x) = | x - 1 |, then what is the…

A: To find f(g(9))

Q: f (x) x + 9 and g() = x - 9,

A: (a)  fgx=fx-9=x-9+9=x (b) gfx=gx+9=x+9-9=x

Q: What must be true about the integer n if the function f(x) = x^ n is an even function? If it is an…

A: Given that,

Q: Suppose f is a one-to one function. If f(-3) = 4 , then f-1(4) is a) 4 b) -3 c) -4 d) None of these

A: we have given fis a one to one function.  And f(-3) =4 We have to find the inverse of 4

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Q: Answer the following questions given the functions f(x) = 2x 3 g(x) = x - 5 %3D |

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Q: (a) If a = 0, what simpler family of functions does f (x) = ab² belong to? (b) If b is negative,…

A: Given: fx=abx Any exponential functiony=pqx is defined for x∈R, p≠0 and q∈0, ∞-1

Q: Assume that f is a one-to-one function. (a) If f(6) = 17, what is f ¯'(17)? (b) If f-'(3) = 2, what…

A: Given f is a one  to one function Therefore every element has unique image in co domain. i) If…

Q: 76. If f'(x) = 0 for all x in the domain of f, then ƒ is a constant function. %3D

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Q: Suppose f and g are positive functions. Is the following true or false? Vf,g:N → R f(x) E O(g(x)) =…

A: Big-Θ notation: A function g(n) is in Θ(f(n)) if there exist constants c1, c2, and N such that…

Q: Which of the following functions are 1-to-1? f(x) = x² + 2x 3, g(x) = 4x – 1, h(x) = |2x +2| %3D

A: Only  g(x) is one to one function.... Concept: If the derivative of given function is strictly…

Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 7.…

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Q: 19. If the original function f(x) = 2x² – 1 is shifted to the left 3 units to make the function…

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Q: Assume that f is a one-to-one function. (a) If f(7) = 19, what is  f −1(19)? (b) If f −1(8) = 1,…

A: Given :f is a one-to-one function .a If f7=19 , what is f-119?b If f-18=1 ,what is f1?

Q: Assume that f is a one-to-one function. (a) If f(6) = 12, what is f-¹(12)? (b) If f¹(1) = 8, what is…

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Q: Can someone explain to me how to find f o g, g o f, and g o g ?

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Q: Assume that the function f is a one-to-one function. (a) If f(– 3) = - 8, find f(- 8). - Your answer…

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Q: Suppose f is a one-to-one function with a domain of {x|x# 9} and a range y y+. Which of the…

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Q: Suppose that f and g are both odd. Which of the following functionsare even? Which are odd?(a) y = f…

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Q: If  f and  g are both even functions, is the product fg even? If fand  g are both odd functions,fg…

A: If f and g both are even functions then f(-x)=f(x) and g(-x)=g(x) Since, h(-x)=h(x), so h(x)=fg is…

Q: Find a function f that satisfies the conditions. f"(x) = x-3/2, f'(1) = 4, f(4) = -2 f(x) =

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Q: If fx) is a odd function and g(x) is an even function, then what type of function is y = g(x) even…

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Q: If f(x) = x√(x+3) and a=2, find (f-1)'(a). f is a one to one function

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Q: What is the value of the given function: f(0) 1- 1 undefined -1

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Q: If f and g are both even functions, is the product fg even? If f and g are both odd functions, is fg…

A: we know that a function will even function if…

Q: Suppose that f(x) is an odd function and that f(-2)=4 Find the value of f(2)

A: Given data:     The given value of the odd function is: f(-2)=4.     The standard expression for the…

Q: Which of the following is the parent function for a. f(x)=x c. b. d. f(x) = |x| f(x) = x³ f(x)=√x

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Q: we define the first difference δf of a function f by δf (x) = f (x + 1) − f (x). Show that for any…

A: Given that the first difference of a function is defined as

Q: Evaluate the function at the indicated value. 3х - 1 f (x) = 5x +3 f (-r) = ? Hint (1 of 1):…

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Q: If f(x) is an even function, which function must also be even? (1) f(x – 2) (2) f(x) + 3 (3) fl(x +…

A: For function to be even it must be symmetrical about y axis  and also

Q: Given f(x) = x2 + x + 1 and h(x) = 2x + 3, evaluate the composite function. f[h(−1)]   answer is…

A: Given:

Q: Given that the domain of a one-to-one function f is [−3, 5) and the range of f is (−2, ∞), state the…

A: Given,

Q: Consider this function: f(x) 2. 4. 5. 9. 17 8. 9 10 What is f(7)? 3.

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Q: If f is a one-to-one function with f(8) = 3 and f'(8) = 6, what is the value of (1-1) (3)? (f-1) (3)…

A: f is one-one. f(8)=3 and  f'(8)=6

Q: These questions are about the function f(x) = (x-2)/(x-7)

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Q: Consider these functions: f(x) = 3 and g(x) = 3+2-5

A: Given,          f(x)=3x,   and     g(x)=3x+2-5

Q: Pls help ASAP

A: We know (f - g)(x) = f(x) - g(x)

Q: 3. (a) If f:X→ Y and g: Y→ Z are functions and go f is one-to-one, must g be one-to- one? Justify…

A: Answer is NO  It is not necessary that if g∘f is one one then g must be one . But some time it may…

Q: A function is given by f(X)=x^2+X+5 find f'(2)

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Q: x 3

A: Consider the given function: Here the objective is to determine whether the given function is a…

Q: Use the given the function: (z+2)(x-3) f(x) = (x+1)²(x-2) to answer all of the questions below.

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Q: If f(x) = x2 and g(x) = x − 3, find the composite functions f ○ g and g ○ f. You must show ALL…

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Q: Determine whether Rolle's theorem can be applied for the function f(x) = x* – 3x² ;[-3,3] .If so,…

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Q: 3. (a) If f: X→ Y and g: Y→ Z are functions and go f is one-to-one, must g be one-to- one? Justify…

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