Consider the functions, h(x) = 3x – 7 and k(x) = . b. Find h(k(x)) X+7 | a. Find h(k(- 2)) c. Find k(h(- 2)) d. Find k(h(x))

Q: The functions f and g are defined as f(x) = 2x – 1 and g(x) = x² +1. Which of the following…

A: h(x) = g(f(x)) is called composite function of f(x) and g(x).  Here the value of of function f(x) is…

Q: Let f(x) = 3x2. Find f(3 + h). f(3 + h) = Find (3 + h) – f(3) h f(3 + h) – f(3) Compute f'(3) by…

A: Given; f(x)=3x2

Q: For what value(s) of k will the function g(x) = x? - kx + 9 have only one zero?

A:

Q: Find and simplify the difference quotient f(x)=x² + 4x-5 OA. 2x+h-5 2x²+2x+2xh+h²+h-10 h OB. OC. 1…

A:

Q: For the function f(x) = 7x² - 3x + 2, f(x+h)-f(x) h evaluate

A: f(x)=7x2−3x+2

Q: For the function g(x) = x² the value of g(2 + h) is: 04+h? 04+4h + h² O2+h?

A: Given Data: Function: g(x)=x2 ......(1) The value g(2+h) can be obtained by substituting the…

Q: Which of the following is equivalent to f(x + h) – f(x) h for the function f(x) = 4-3x2? -6x 3h | 6x…

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Q: If y = f(x) in the figure, find the following. y -6 -4 -2 (a) f(5) = (b) f(9) = 12 6 -6- (5, 6)…

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Q: Which function is best represented by this graph?

A:

Q: Consider the function P(x) = x3 – 16+ 8x +10x².

A: Rearrange the P(x)

Q: Let f(x) = 2x - 9 and g(x) = for which f(x) > g(x). = 5x + 4. Find all values of x

A: given: fx=2x-9g(x)=5x+4 we have to find all values of x for which f(x)>g(x)

Q: Let f(x) -x² + x. Let g(x) = 6x - 4. Find the following: (a) f(5) + g(5) = 56 (b) f(6) g(6) = 1344…

A: The given functions are f(x)=-x2+x,g(x)=6x-4 We have to find the a) f(5)+g(5)b) f(6).g(6)c)…

Q: For the functions f and g find a. (f+ g)(x), b. (f- g)(x), c. (f• g)(x), and d. |(x). f(x) = x - 8,…

A: Solution ) f (x) = x - 8 , g (x) = 7x + 9 a ) ( f + g )x = f(x) + g (x)  ( f + g )x  =  x - 8 + 7x +…

Q: Let f(x) = 6x – 4x² – 7x³ and g(x) = 9x² – 5x . Find (f + g)(x) and (f – g)(x). Then evaluate f +g…

A: Question- Let f(x) = 6x - 4x ^ 2 - 7x ^ 3 and  g(x) = 9x ^ 2 - 5x  Find (f+g)(x) and (f-g)(x). Then…

Q: Let f(x) = x - 6 and g(x) = 7x. Find (f+ g)(1). (f+ g)(1)= (Simplify your answer. Type an integer or…

A: As per the question we can solve it as per the rules of function

Q: If f(x) = 2x² - 8 and g(x) = 2x + 1, evaluate f(g(x)) when x = -3 -30 O-19 42 O46 60

A: Given: f(x)=2x2-8 and g(x)=2x+1

Q: II. If f(x) = x², g(x) = 5x and h(x) = x + 4, find each value: 3. f(g(1)) 4. g(h(-2)) 5. h(f(4)) 6.…

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Q: x+7 For f(x)= 6x-7 and g(x)= find the following functions. a. (fo g)(x); b. (go f)(x); c. (f o…

A: Note:- According to company policy we have to attempt only 3 subparts of a question so please upload…