(3) Evaluate and simplify the given version of the difference quotient for the given f(r). f(2+h) – f(2) (a) h f(r) = 4x² – x f(r) – f(4) (b) I – 4 I+3 f(x) = ,- 2 I - 2

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: 9. Given f(x)=4x+3 and g(x)=x, find (g•fXx) 10. Given f(x)=x-1 and g(x)=xr +2x-8, find (gofXx)

A: Question no. 9,Given,            fx=4x+3  and gx=x2

Q: Given the function m(r) 3 + 3r, find and simplify the difference quotient. -

A: Given function is

Q: x2 + (12 – 5x) | a. Evaluate f(6) given that f(x) = 8x f(6) = Preview b. Evaluate g(x + 2) given…

A:

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

A: f(x)=7x2−3x+2

Q: 7x 9. For the given functions, f and g, find (fog)(x) : f(x) = 7x²+4; g(x)=3x+2

A: To find the composite function

Q: Find and simplify f(x + h) – f(x) for f(x) = 3x2 – 5x + 4

A:

Q: Write the the function f(x) = x² – 2x + 6 in the form f(x) = a(x – p)² + q by completing the square:…

A: Given function f(x)=x2-2x+6. The objective is to write the function in the form f(x)=a(x-p)2+q by…

Q: Select all of the statements that are true for the functi O f(x) is shifted 4 units to the right. If…

A:

Q: For f(x) = 4x-3 and g(x)=5x -4 find the folowing. a. (fog)(x) b. (gof)(x) c. (fog)(2) a. What is…

A: Given functions are: fx=4x-3 gx=5x2-4

Q: If f(x)=x²-4 and g(x) = 3x, find a. (f+g)(x) c. (f.g)(x) a. (f+g)(x) = (Do not factor.) b. (f-g)(x)…

A: use the algebraic property of the function.

Q: For f(x)-6x-5 and g(x)=5x-2 find the following. a. (fog)(x) ь. (g of(x) c. (fog)(2) C.

A: Here I am attaching image so that you understand each and every step.

Q: Given f(x) = 7x – 6 and g(x) = 8 + x, find the following:

A:

Q: Find the discriminant of: f(x)=(5x+4)(2x+2)

A:

Q: f(x +h) - f(x) 3x -, h#0, for the function f(x) = x+2 Find the difference quotient of f; that is…

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

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: Consider the function f(x) = 3x²-5x+2. Use it to find f(4), f(-1), and f(a + 3). f(4) = 30 O…

A:

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: x² + (13 – 3x) a. Evaluate f(5) given that f(x) : 8x f(5) = Preview b. Evaluate g(x + 2) given that…

A:

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: ed gof)

A: Given:  f(x) = 1/ (x+7)  And g(x) = 2/ (x+1)

Q: Find the second derivate of f(x) = 6 – 2x + x® E 56 x B F 56 x7 56 8x 56 x

A:

Q: - Find f(a), f(a + h), and the difference quotient f(a + h) − f(a), where h = h f(x) = 7 - 9x + 3x²…

A: given  f(x)=7-9x+3x2for  f(a)  put x=a in f(x)

Q: Let f(x) = x²+10x³+36x² + 12x+2. For what value(s) of x does f(x) have a point of inflection? x=-3…

A:

Q: Which of the following is equivalent to f(x+ h) – f(x) h for the functionf (x) = 2 – 5x²? 10x + 5h…

A: According to question given that f(x)=2-5x2