You are given two functions: Function 1 Function 2 If function 1 is ƒ (z), what does that make function O f(r- 4) O f(r+4) O f(z) – 4 O f(r)+4

Q: Let h(x)=f(x)−g(x). If f′(−2)=−8 and g′(−2)=1, what is h′(−2)?

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Q: Find the inflection point(s), if any, of the function. g(x) = 2x4 – 4x³ + 6 smaller x-value (x, y) =…

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Q: find two functions f(x) and g(x) such that (fog)(x)=h(x)=-5/(3x-2)^3

A: We want two functions so that if we put g(x) into f(x) for x, we get h(x) but if we pull out what's…

Q: f(x)=3/x-7 and g(x)=x2+5x what is (f+g)(x)

A: Given  f(x) = 3x-7  & g(x) = x2 + 5x

Q: Find two nontrivial functions f(x) and g(x) so f(g(x))=(1−3x)^2

A: f(x)= x²

Q: f(x)=5x-2      g(x)=3x2+2 a. (f+g)(x) and domain of f+g b. (f-g)(x)

A: Given,f(x) = 5x – 2g(x) = 3x2 + 2

Q: 1. If f(r) = 3 find f(x) I – 4' |

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Q: f(x)= 8-6x^2 What is: f(x+h)= f(x+h)-f(x)= (f(x+h)-f(x))/h=

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Q: -3х - 3, Lx? + 2х - 1, X < -1 f(x) x 2-1

A: We have to find the value of the function

Q: Match the function with its graph.

A: To match the function with its graph,  (a) f(x)=x2 Since the function f(x)=x2 represent the…

Q: Find the domain of the function. 29) f (x) = v25 – x2 30) f (x) = 3x + 4 31) h(x) 32) h(t) = |t + 1|…

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Q: Find the function value. f(x) = x2 + 4x − 2   f(x − 1)

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Q: if f(2) = -3 , f'(2) = 4 g(2) =1 g'(2) = -5 then find F'(2) where F(x) = f(x) *g(x)

A: f(2)=-3, f'(2)=4, g(2)=1 and g'(2)=-5F(x)=f(x).g(x)

Q: f(x) = x^2 + 4/2x What interval is the function decreasing?

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Q: Find two nontrivial functions f(x) and g(x) so f(g(x)) = (– 3 – 8x)° f(x) = g(x) =

A: We have to find function

Q: 3 3 For the functions f(x) and g(x) ==+4, find f(g(x)) and g(f(x)), %3! х — 4

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Q: (6) Find the function value, if possible. f(y) = 3 - Vy %3D (a) f(4) (b) f(0.25) 2.5 (c) f(4x2)

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Q: Find the intercepts of the function. f(x) = x(14 − 2x)(10 − 2x)2

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Q: Find the function value, if possible.

A: Solution:Given     f(x)=2x+1x&lt;02x+2x≥0to find the function value

Q: 4x - 2 if - 4sx<3 If f(x) = find: (a) f(0), (b) f(1), (c) f(3), and (d) f(4). x° - 3 if 3<xs4 (a)…

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Q: What happens to the function f (x) = x² when it becomes f'(x) = x² – 3? It moves 3 units to the…

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Q: If f (x + y) = f (x) + f (y) and f(1) = 3, find f (2), f (3), and f (4). Is f (x + y) = f (x) + f…

A: The function is,  fx+y=fx+fy               ...... (1) and f1=3   Determine f2. f2=f1+1=f1+f1…

Q: The functions f and g are defined by f (x) = x² and g(x) 2x, respectively. Which equation is…

A: We have to find function

Q: Let two functions be f(x) = x2 - 4 and g(x) = (fo g)(x)? What is (fo g)(x) -4 %3D x2 +8x+16 (fo…

A: Given:fx=x2-4   and gx=1x+4f∘gx=?

Q: Find the value of a and b in the function f(x)=ab^x, if f(-1)=15 and f(2)=5/9

A: Given function,                               f(x)=abx                               And  f(-1)=15…

Q: The range of the function y=In(x+1), where x>-1 is Select one: а. (-00,1) b. R + C. R d. (-1,00)

A: Rule- the range of the logarithmic function of the form  c.log(ax+b)+c is all the real numbers.

Q: C-x= (x)f and g(x) Given:

A: Given that, fx=x-5gx=2x2 Evaluate limx→-3fgx

Q: Differentiate the function: k(x) = e^x / x^4 + 1 k'(x) =

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Q: 30) Which function has a range of y > 4? A) f(x) = (x-2)² + 4 B) f(x) = |x-2| - 4 C) f(x) = 3x+4 D)…

A: The solution of problem 30 is given in the next step.

Q: g(x) h(x) If f(x) then f'(2) -

A: The derivative value of any function is equal to the slope of the function line at that point.   The…

Q: Q3) A) If you have three functions: f (x) = x² – x g(x) = 3x – 1 w(x) = x² – 2 So, find gof (x) and…

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Q: 2x + 1 , x < 3 i ci x 2 3 If the function g(x) = %3D x - 1 a) - 6 b) 6 c) 4

A: The first question has incomplete data. So, answering the second only.

Q: x – 1 is The domain of f(x)=y=. X +2

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Q: What is (fo g)(-1) if f(x) = 2x + 3 and g(x) = ? %3D O (f o g)(-1) = O (f o g)(-1) = 2; O (fog)(-1)…

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Q: a) f(3) = %3| g(x). b) g-1(2) c) f(g(4) = y=f(x) d) Find x if f(x) = 2 e) Domain of g(x)

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Q: 4) If f(x) = [√9+ x²] then f(R) =_

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Q: 5. The function y= 6(x – 1)*(x - 2)(x +1)² changes sign at x = 1 b. x=2 x =-1 d. it doesn't change…

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Q: For what value of x does the function f(x) =x³ – 4x attain the point of inflection in the…

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Q: a. ƒ (x) > 0 b. f (x) < 0 4 2 -y = f(x) -3 -1 3 -2

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Q: Find (f•g)(x) and (g•f)(x). f(x)=4, g(x)=0.25

A: It is noticed that the given functions f and g are constant functions. So, both of the functions are…

Q: 2. There are four different functions f:{a,b} → {0,1}. List them all. Diagrams will suffice.

A: Function: A function is kind of relation in which set of inputs are mapped to set of outputs, in…

Q: If flx) = x²-4 and g(x) =x +2 then we can %3D x-2 say the functions f and g are equal.

A: Given, f(x)=x2-4(x-2) g(x)=x+2

Q: f(2) = %3D if f(x) = 8 then x = %3D f-(5) = %3D if f(x) = 1 then a =

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Q: 30. Evaluate the function for x =-1; y= 3• 5%.

A: Given data: The given expression is y=3⋅5x. The given value of x=-1. Substitute -1 for x in the…

Q: What are the domain and range for the function f(x) = 4(2−²x+7) − 3 ? Domain = {x € R} Range = {ye…

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Q: 닭 -2 3 2 2 3 -4- Y -1 3

A: Given graph of function         y= f(x)

Q: Let f(x) = and g(1) = 5z + 3. I- 2 Then (fo g)(6) (fo g)(x) =

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Q: 2x-1 if-2sxs4 If f(x) = find: (a) f(0), (b) f(1), (c) f(4), and (d) f(5). x-4 if 4<xs5 (a) f(0) =-1…

A: The given function isf(x)=2x-1if -2≤x≤4x3-4if 4&lt;x≤5

Q: 1 Let f(x) = x° and g(æ) x. 5 What is (fo g)(x)?

A: Solve the function