Find the following. 5/2 3/2 f'(4) if f(x) = 9x -7x O A. 159 OB. 96 OC. 6 OD. 8 Find the equation of the tangent line to the curve when x has the given value. f(x) = Tx 5 ; X= 4 4x O A. y=-25 8 5 OB. y = 13x - 16 O c. y= - 39x - 80 х OD. y 1 + — 5 20
Given the functions: f(x)=-7x g(x) = |x–51 h(x) = x+.5 Evaluate the function (4-3)(x) for x=2. (-8)(2) is
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...
Question 7 7x - 21 Given f(x) = - x2- 7x + 12 a. Determine the domains of f(x) and g(x). b. Simplify f(x) and find any vertical asymptotes. c. Complete the table. ix) g(x)
Find a symbolic representation for f '(x) Fax) = ** f(x) = 7x +5 x -1 f'(x) = (Simplify your answer.)
1 Given f(x) = 5x² - 4 and g(x) = = 6 - find the following expressions. (a) (fog)(4) (b) (gof)(2) (c) (f o f)(1) (d) (gog)(0) (a) (fog)(4) = (Simplify your answer.) (b) (gof)(2) = (Simplify your answer.) (c) (f o f)(1) = (Simplify your answer.) (d) (g og)(0) = (Simplify your answer.)
Use the definition of the fact that f(x) is O(g(x)) to show that: 1. 7x^2 is O(x^2) 2. x^4 + 9x^3 + 4x + 7 is O(x^4) 3. (x^2+1) / (x+1) is O(x) Hint: Try to simplify algebraic expression.
7x + 4 3x - 4 Consider the functions f(x) = and g(x) = x+3 7-X (a) Find f(g(x)) (b) Find g(f(x)) (C) Determine whether the functions f and g are inverses of each other. ary (a) What is f(g(x))? f(g(x)) = (Simplify your answer.) Give any values of that need to be excluded from f(g(x)). Select the correct choice below and fill in any a ols > ОА. XF (Use a comma to separate answers as needed.) O B....
Let f(x) = 7x + 1 be the function such that f(x) = 6x2 + 2-1 n2". n=0 Q6.1 10 Points 1 Using the well-known geometric series r" = , |* |< 1, find the formula of Cand n=0 find the domain D of the function f. Please select file(s) Select file(s) Save Answer Q6.2 8 Points Using part Q6.1, find the value of the 102nd derivative of f(x) at x = 0; that is, find f(102)(0). Please select file(s)...
Question 2 f'(x) glx) g(x) g'(x) x 5 6 4 z 3 z -4 3 -2 2 4 5 o -5 8 2 A. find h'll), where h(x)=2x-3f(x) 3 0 a B find hils), where h(x) = f(x) g(x) C. find h (3), where h(x) = f(g(x)) D. find n (4), where h(x)= (g(x))*