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MATHEMATICAL APPL F/MGMT LIFE (LL) FDS
- Find 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_forwardLet x + 1 f(2) – f(x) x + 9 f-'(- 4) =arrow_forwardIf 82+5f(x)+x^2(f(x))^3=0 and f(3)=-2, find f’(3)arrow_forward
- If f(x)=x^2 −1,and h(x)=1−4x, find the following new functions,as well as any values indicated. A) (f+h)(x)= B) (f+h)(0)=arrow_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_forwardThe 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_forward
- Let 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_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
- Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: A. h(f(9)) B. g(f(0)) B. h(g(-4))arrow_forwardLet f and g be functions of x, where a is an unknown constant. What is a valid expression for (-)' if f = ax and 12x² - 2ax (4x³+1)² 6ax -1 +² a 6x -4ax² + 2ax (4x³ + 1)² 3 4x +1 ·? Xarrow_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_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning