If f(x) is vs, what is the minimum value of f(x) for xE(0,2]? 7. 25 when 8. f(x) ={ 1 x+- otherwise 3/2

Q: 1. Let f(x) = 2x² + 1 and g(x) = [x]. Find the following. (a). What is (f ○ g)(x) = f(g(x)) = = (b).…

A: We Know that,  Greatest Integer Function is a function that gives the greatest integer less than or…

Q: D. Differentiate the following. a. f(x) = 4x³ – 5x² + x + 8 b. g(x) = x" -* -*+* + vZ c. h(x) = v9x°…

A: (a) To find: The derivative of fx=4x5-5x3+x+8. Formula used: Power rule of derivative: xn'=n·xn-1…

Q: 4. Which of the following functions has a maximum value? a. f(x) = x- 3x + 4 b. f(x) = 2x + 5x + 3…

A:

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: 6. Use algebra to determine whether the given functions are is even, odd or neither a) f(x) = -x³ +…

A: For a given function f(x)  If it satisfies the condition  f(-x) = f(x), then the function is Even.…

Q: For the function f (x) = (*-2)* x+2 , find f-'(x).

A:

Q: y= {(z) -4 -3 -2 -1 3 7

A: We have to find the points

Q: F(X) = 102₂ ; g(x) = x + 1

A: To find the domain of .

Q: The domain of the function За + 5у is 2? + у? — 4 f(x, y) - >

A:

Q: (-x if x < -2 4. Let f(x)=x² if-2<x<2 Compute the following function values: (0 if x ≥ 2 a) f(-3) b)…

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Q: -1), (c) f(0), (d) f(3), and (e) f(5). 3x f(x) = if xs -1 x-2 if x> - 1 (a) (-4) =D

A:

Q: Which of the following functions passes through the point(0, 10) and satisfiesf'(x)= 87

A: given f'(x)=8

Q: Find if f (x) = 3x* – 4x3 has any absolute extreme value/values in (-2,+00).

A: Givenf(x)=3x4-4x3To find Absolute maximum and absolute minimum values.

Q: the function f(x) = k(x - s)(x - t)(x - u)^2 has: * O 3 zeros O 4 zeros O no turning points O 4…

A: Zeros of a function are those points where function has value zero. Hence f(x)=0 implies…

Q: Show that the function x- 16 - f (x) = x + 4 4 - 10 x = 4 has a removable discontinuity at x = 4.

A: A real valued univariate function f=f(x) is said to have removable discontinuity at c in its domain…

Q: 13. Find [f• g](-4) for f(x) = x-8 and g(x) =-x² +2.

A: Given thatf(x)=x-8g(x)=-x2+2to find fog(-4)

Q: 5. Differentiate each of the following functions: a) (x+1)³(x-2)4 b) In x+1

A:

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: Suppose f is a real function satisfying f(x + f(x)) = 4ƒ(x) and ƒ(1) = 4. What is ƒ(21)? f(21)=

A: Suppose f is a real function satisfying f(x+ f(x))= 4f(x) and f(1) = 4, what is f(21)?

Q: 13.   please help   Either f(x) a graphically defined function.   calculate:

A: Step 1:Step 2: Step 3: Step 4:

Q: What is the point of intersection for f(x) = 2* and g(x) = A (1,0) (1, )

A: Here we have to find the point of intersection of f(x)=2x ............................... (1)  and…

Q: There is a partial insurance policy that pays $80,000 upon the bad drought state (and $0 in the…

A:

Q: 1.) Let f(x) = 7 + What is f(3 + h)?

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Q: A jungle has 400 monkeys, and it is estimated that the maximum population of the monkeys in the…

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Q: B. Let f(x) = x – x - 4 and g(x) = 2x – 6 4.) Find ()(x - 1) 5.) Find (4) (x)

A: topic - functions