let f(x)=3x+5 10. Let f(x) = 3x + 5. Find each of the following. 210 a. Find f(x + h) b. Find f(x + h) - f(x) 05X11E f(x+h)-f(x) c. Find h
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...
-. Let f(x) = 3x + 1 and g(x) = -X- 2. Find (fºg)(4).
Consider the functions f(x) = 4-xand g(x) = 3x +5. Find the value of f(g(-2)). O 3 O 1 05 O 0
Let f(x)=7x-8/3 and g(x)=3x+8/7. Find (f o g)(x) and (g o f)(x).
7. Let f(x) = 3x + 4. We know that f(x) is big-O of x2. Find the lowest k that works for C = 1 and justify your answer fully. Note that you have to show two aspects: your k works and the no lower k value work. Important: you must show all work on free response questions. If the question asks you to prove something, you must write a proof as explained in the presentations and additional handouts on...
3x + 4 for x 2 12. Let (x) 2-x for -1 <x51 . Find f(1/3) and (3/2). Sketch the graph of the -3x for x S-1 function. Determine the domain and range. (2,2,5, 3, and 3 points)
3) Find the difference quotient of f(x)-2x2 + 3x + 4. That is, find f(x+h)-f(x) where h 0
This Question: 1 pt Let f(x)= 3x² +5 and g(x) = - 5x+6. Find the following. (f-9)-3) (f-9)-3)=
Differentiate. Let f and g be functions that satisfy: f(4)-1, g(4)--3, f'(4)--2,and g'(4)-3. Finod h(4) for h(x)-f(x)g(x)-2/(x)+'7 O-5 -13 13 Differentiate. Let f and g be functions that satisfy: f(4)-1, g(4)--3, f'(4)--2,and g'(4)-3. Finod h(4) for h(x)-f(x)g(x)-2/(x)+'7 O-5 -13 13