Concept explainers
Want to see the full answer?
Check out a sample textbook solutionChapter 9 Solutions
WebAssign Printed Access Card for Harshbarger/Reynolds' Mathematical Applications for the Management, Life, and Social Sciences, 12th Edition, Multi-Term
- Suppose that f(x) and g(x) are two functions and we know that: f(-3) = 2 g(-3) = 5 f'(-3) g'(-3) Find the following: (ƒ − g)'(−3) = (g - f)'(-3) = -1 -2 == (fg)'(-3) = (4) - '(-3) = f(x) x² If k(x) = = = then k'(-3)arrow_forwardFind f'(x) and simplify. x²+2 7x-8 f(x) = Which of the following shows the correct application of the quotient rule? O A. O B. O C. O D. f'(x) = (7x-8)(2x) - (x²+2) (7) [x² +2]² (7x-8)(2x) - (x²+2) (7) [7x − 8]² (x²+2) (7)-(7x-8)(2x) [x²+2]² (x² + 2) (7) − (7x − 8)(2x) [7x-8]²arrow_forwardIf f(x)=x^2 −1,g(x)=2x−3, find the following new functions, as well as any values indicated A) (f−g)(x)= B) (f −g)(3)=arrow_forward
- The first derivative of f(x) = (5x* – 6x)/3 will be 20 A. Gx* - 2) (5x* – 6x)i B. (20x³ – 6)(5x* – 6x) c. (20x³ – 6)(5x* – 6x) - - 20 x3 2arrow_forwardFind f'(x) and simplify. X X - 19 f(x) = Which of the following shows the correct application of the quotient rule? O A. O B. O C. O D. f'(x) = (x)(1)-(x-19) (1) [x - 191² (x-19)(1)-(x)(1) [x-19]² (x)(1)(x-19) (1) [x]² (x-19)(1)-(x)(1) [x]²arrow_forwardLet f(x) = 5x – 2 and g(x) = 2- x^2. Find the following. A) g(f(3)) B) f(g(x)) C) f(f(x))arrow_forward
- Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: A. f(g(-3)) B. f(h(7)) C. g(h(24))arrow_forwardSuppose that for two functions f & g, we know the following information:f(8) = 16f'(8) = 6f(3) = 17f'(3) = 19g(8) = 15g'(8) = 11g(3) = 8g'(3) = 4For the function F(x) = (f ◦ g)(x), find F'(3)arrow_forwardIf f(x) = (x - 3)/ (x - 2), in what value of x makes f(x) undefined?arrow_forward
- 5) For functions f (x) = x2 - 15x + 45 and g(x) = x - 9, find |(x)arrow_forwardGiven that f ( x ) = 4 x − 7 and g ( x ) = 2 x^2 x + 6 , calculate (a) f ( g ( − 3 ) ) = (d) g ( f ( 3 ) ) =arrow_forwardConsider the following. f(x) = 8x – 3, g(x) = 1 - x Find (f - g)(x). The difference of two functions, (f – g)(x), is defined as f(x) – g(x). (f - g)(x) = f(x) - g(x) )-a - ») (1 – x) Remove parentheses and combine like terms. (f - g)(x) =arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning