In Problems 7-44, follow Steps 1 through 7 on page 228 to analyze the graph of each function. x +1 x (x + 4) 3x + 3 2x + 4 \ 7. R(x) = 8. R(x) 9. R(x) : 10. R(x) (x – 1) (x + 2) 2r + 4 X - 1 x* +x? + 1 x* - 1 :- 4 x² + x - 12 x? - 4 3 6 11. R(x) 12. R(x) = 13. Р(х) - 14. Q(x) = %3D x - 4 x² – 1 -x - 6 1 x +1 15. H(x) 16. G(x) 17. R(x) 18. R(x) 9. x2 + 2x x2 + x - 6 3x 3 -4 19. G(x) 20. G(x) : 21. R(x) 22. R(x) x² - 1 (x – 1) (x² – 4) (x + 1) (x² – 9) 4 x? + 4 x? 23. Н(х) - 3x - 4 x? + 3x + 2 - 1 24. Н(х): 25. F(x) = 26. F(x) x* - 16 x + 2 X - 1 x² + x – 12 x² - x – 12 x + x - 12 2 - x – 12 27. R(x) 28. R(x) = 29. F(x) 30. G(x) : X - 4 x (x – 1)2 (x + 3)³ x? + 3x – 10 x +5 (x – 1) (x + 2) (x – 3) x(x – 4)² 6x2 - 7x - 3 x + 2 x + 1 x² + x - 12 31. R(x) 32. R(x) 33. R(x) %3D x² – x – 6 &r? + 26x + 15 34. R(x) 35. R(x) 36. R(x) : x² + &x + 15 2x2 - 7x + 6 2x? – x – 15 x² + 5x + 6 x² + x - 30 37. R(x) 38. R(x) 39. f(x) = x +2 x + 3 x +6 9. 40. f(x) = 2x + - 16 42. f(x) = 2x² + 1 41. f(x) = x² + • 43. f(x) = 9. 44. f(x) = 2x + x +

Q: y² = 2x = x² 1- y² = (x - 1)² x = 1+√1-y²

A: (a-b)2 = a2 - 2 a b +b2

Q: 40x + x2 43. f(x) 16x – 2x

A: (43)

Q: When f(x) = 8a? – x – 3, evaluate f( – 4) f( – 4) =

A:

Q: 4x +3 Q10: Let f(x)= x+2 Show that f(x) is 1-1 function. Find D,, R,, and f(x).

A:

Q: Find the domain of the function. (Enter your answer using interval notatio f(x) = Vx + V2 - x

A: We will find the domain of function

Q: 3.lf g(x)=x* – 2x³ – 7x2 + 8x + 16, find f(3).

A: Given that, fx=x4-2x3-7x2+8x+16 We have to find f(3).

Q: х? — х — 12 f (x) = x2 — 2х — 8

A: Given query is to find domain and range of the function.

Q: Simplify f(x). x² - x - 20 f(x) x2 . - 2x - 15 (x – 5)(x+ 4) f(x) = (x – 3) (x + 5) for x * 0

A:

Q: f ( x ) = 5 x + 2 at x = 7

A: Given: f ( x ) = 5 x + 2     To determine: value of f(x) at x = 7 i.e, f(7)

Q: Find the indicated outputs for f(x) = 2x² - - 2x.

A:

Q: x² – x – 12 f (x) = %3D x2 – 2x – 8 -

A:

Q: х3 (2 — х?)1?dx x3 dx 1 — 2х2 1 x²dx Vx2 + 4

A: ∫un du = un+1n+1+C ∫a2+x2 dx = xx2+a22+a22sin h-1x2+C ∫1x2+a2 dx = sin h-1xa+C

Q: V5 – 1 Given x = find x4 + x3 +2x – 1. 2.

A: Given, x= (√5 -1)/2 = (2.236067977-1)/2 x= 0.618033988

Q: x² If g(x) 4 simplify V1 + [g(x)]².

A: Given: gx=x24-1x2 To Find:  To simplify 1+gx2.

Q: Let f(x) = x2 + 2x – 1 and g(x) = 2x – 4. Find 2f(x) – 3g(x). 2x2 — 2х — 14 -3x2 – 2x – 1 Option 1…

A:

Q: Find all the inflection points of f(x) = x4 – 2x3 – 12 – 5x2 - - -

A: The given function f(x)=x4-2x3-12-5x2

Q: Let f(x) = - 4x+ 15 and g(x) =x² +14. Find f(5)- g(5). (5) - g(5) =|

A: Given that: f(x)=-4x+15g(x)=x2+14

Q: If f(x) = x² – 5 and g(x) = 6x, then g(f(x)) is equal to %3D A 6x³ – 30x © 36x? – 5 6x² – 30 D x2 +…

A: Given:     To determine:

Q: (x–1)³ 3 x2

A: ∫(x-1)3x2 dx

Q: Find f-1 (x) for f(x) = 7x + 4. O 1-²=-²/x-1/ O f¹(x) = -7x+4 O---- O f-¹(x) = -7 x - 4

A: For finding the inverse of a function replace all x with y and all y with x and then solve for y.

Q: Find f(x + Ax) by substituting x + Ax in place of x in f(x) = 9x² - 5x. f(x + Ax) = 9( x+ Ax D² - 5(…

A: To find the f(x+∆x)

Q: Let k(x) 3x – 7 and m(x) = 3x + 1. Find the indicated value. m(x) · k(x) = Complete work must be…

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: 3x-4x+1 dх X(X+2) (X+3) X-1

A: