1. Using the graph, find the following: a. f(-3) b. (f.(2) c. x where f(x) =...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
1) Find the following for the functions f(x) = x+2 and g(x) = Vx – 5 if defined. If the composition is not defined write “The value is not in the domain”. a) (fºg)(14) b) (gºf)(2)= c) (gºg)(30) =
Name: 1. For the function f(x) = x2 – 1 find and simplify: a. f(-2) b. f(-x) c. -f(x) d. f(x - 2) 2. Find the domain of each function below. Write your answer in interval notation. a. f(x) = x + 2 x2 + x - 6 b. 8(x) = (2x - 1 1 f(x + h) - f(x) 3. For the function f(x) = 2x2 – 3, find the difference quotient h 4. Use the graph of the...
2) a) Find the domain of the functions. h(x) = x2 – 5x b) Find the functions (a) fog, (b) go f,(c) f • f and their domains. 1. f(x) = 3x + 5, g(x) = x² + x 2) a) Find the domain 07 the functions. h(x) = 1/72 – 5x g(x) = - 1 g(x) = 1 – tan x b) Find the functions (a) fºg, (b) go f, (c)f of and their domains. . f(x) = sin...
3. The graph of F(x)-2 with restricted domain [-2,3] is given. Use Desmos to find two formulas for each of the dotted graphs, one of the form y = F(x-h) + k, the other of the form y = (x-h)2 + k. https://www.desmos. com/calculator/i21 sǐwzfir 15 10 a. b) y (c) y 10 4. Assume the domain of g(x) is [-23) and range is [-8,2]. (a) What are domain and range of y g(x) - 6? (b) What is domain...
Write the quadratic function in the form f(x)=a(x-h)^2+k; Find the vertex and graph the function (a) f(x)=x^2-6x (b) f(x)=-x^2+4x+1 (c) f(x)=3x^2-10x+2
please show work 1.Let g(x) = log3(x +3)-1 . d. (3 pts) f(8)-3, the corresponding point on the graph of f(x)is.H The transformed point on the graph of g(x) is . e. (2 pts) Find the domain and the range. Write in interval notation. 1d. point on f(x): point on g(x): f. (1 pt) What is the vertical asymptote? That is, as x→ 1e. D: R: 1f. 8. (5 pts) Find the equation of the inverse, g(x). 1g. 1.Let g(x)...
2 2. For function h(x) - a. Find (-1) b. Find the domain of h(x), write your answer in set-builder notation. 2 c. For function (x) h'(x) and state the domain and range of h'(x). 3. a. What is the relationship between the graph of a function and the graph of its inverse? b. Graph the function (x) = V1 – 3 and its inverse on the same coordinate system. Determine at least 3 points on each graph. Label each...
15 points LarCAApCalc2 2.7.006. Consider the functions given below. Find the following. f(x) = 4x 7, g(x) = 1 -x (a) (fg)(x) (f g)(x) (b) (c) (fg)(x) (d) (flg)(x) What is the domain of f/g? (Enter your answer using interval notation.) A Your work in question(s) 1, 2, 3, 4, 5, 6 will also be submitted or saved. Submit Assignment Save Assignment Progress -15 points LarCAApCalc2 2.7.010 Consider the functions given below. Find the following. f(x) = x-16, g(x) =...
-2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6. I. Evaluate: a) f(-2) b) f(-1) c) f(o) II. Graph the function f(x) 5 2 -3 -5 7. Expand the following logarithmic expression using the properties of the logarith Assume all variables are positive. In Ve , find sin θ and tan θ, where θ terminates in the third quadra If cos θ 8. -2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6....