Let f(x) = (x + 5)2 Find a domain on which f is one-to-one and non-decreasing....
Let f(x) = Vx and h(x) = -5 Find f-h and its domain. Which of the following defines the function f-h? O A. (f=h)(x) = x5 - vx 08. (r+nywa OC. -nya) = OD. (8-}x)= 18-x=5 X -5 (f-h -5 The domain of the function f-h is (Type your answer in interval notation.)
solve 15 U. Iru 1-4) = 7. Find f(a + 5)=3(2-52 5 8. Find the domain off. - 6,05 9. Find the inverse of f. CY 10. On which interval(s) is f increasing? 11. On which interval(s) is f decreasing? Use the function g(x) = 2 7x + 9 for the following: x2 - 64 or the 12. Find g(-3) = 12 or 217 13. Find g(a - 2) = 14. Find the domain of &(-4098) UC8,8) U(810) 15. Find...
5. [4 bonus points) Let F be a continuously differentiable non-decreasing function on R with F' = f. Show that 1,6)dF(a) = 5,5(x)}(a)dx 2 A A for every non-negative function g on R and a Borel set A.
The one-to-one function f is defined below. 1. f(x) = 2 2 B Find f'(x), where f is the inverse of f. Also state the domain and range of f in interval notation. 5 "(t) = 0 H (0,0) [0,0] OVO (0,0] [0,0) Domain of f : Γ -00 Range of f1? : 0 x 3 ?
The function f(x) = -2 is one-to-one. (a) Find the inverse of f (b) State the domain and range of f. (c) State the domain and range of f1 (a) What is the inverse of f? f (x) Simplify your answer. Use integers or fractions for any numbers in the expressinn
Let be the one-to-one function given below. f(a) Time 2 hours 151548 4+5 5 - 2 (a) Find the inverse function of foef-')) Preview (b) Compute f-'(4) Preview For this question, you must show all your work. Either type all steps into the answer box below, or scanphotograph your work and upload the file using Insert > Attach File in the answer box below.
3. (25 points) Let f(x) = 2/2_8 (a) Find the domain of f. (b) Find the equation of all vertical asymptotes or explain why none exist. For each vertical asymptote = a, calculate both the one-sided limits limo+a+ f(x) and limo-ha-f(T). (c) Find the equation of all horizontal asymptotes or explain why none exist. C Bollett. ollett (d) Let g(x) = f(x) if x 70 For what value of b would g(x) be continuous at I=0? (or if no 91...
The function f(x) = 3-7x is one-to-one. 5+11x (a) Find the inverse of f. (b) State the domain and range of f. (c) State the domain and range of f-1.
Q-5: [5x1 marks] Let f(x) = 10 + (x β 2)4 a) Find f'(x) and f'(x). b) Find the intervals on which f is increasing or decreasing. c) Find the local maximum and minimum of f, if any. d) Find the intervals on which the graph of f is concave up or concave down. e) Find the points of inflection, if any.
Given f(x) r)s x23,x 2-2 Find the following key features Domain: Range: Relative max: Relative min: Intervals of increasing: Intervals of decreasing: Given f(x) r)s x23,x 2-2 Find the following key features Domain: Range: Relative max: Relative min: Intervals of increasing: Intervals of decreasing: