show work 7) Given g x=3 and f x =logx, fill in each blank with the...
Find the horizontal asymptote of the given function. 35) f(x) - 4x2.3 4x2.3 A) Y-3 C) y - 1 B) y--3 D) None Sketch the graph of the rational function. Indicate the equations of the vertical and horizontal asymptotes and the y-intercept. 40) f(x)* Vertical Asymptote: Horizontal Asymptote y-intercept 36) gix) x2 + 8x - 5 x-5 A) y - 5 C) None B) y = 0 D) y - 8 37)(x) x2.5 A) y = 0 C) None B)...
Include all relevant work please. s. Consider f(x) = *** a. Find the domain. [3] b. Find any vertical asymptotes. [3] c. Determine if there are any holes. If so, give the coordinates of the hole. [2] d. Find any horizontal or oblique asymptotes. [3] e. Determine if the graph intersects a horizontal/oblique asymptote, if it exists. Show work! [3] f. Sketch a graph of the function. To receive full credit, label any x and y intercepts and the asymptotes....
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)...
Show work thumbs up VII. Functions Find the Domain of each function. f(x)--/-x2-4x + 5 g(x)-In(4t-3) a) b) e) h(x)- +3x2 -x-3 Find the zeros, vertical asymptotes, and horizontal asymptotes f(x) = 3x"-14x-5 (4x-17x-15 6x2 -7x-5 f(x) = -12 万 b) Transformations a) Beginning with f(x)- Vx, find the function g(x) that shows fcx) shited to the let 2 units, reflected over the x-axis, and then shifted up 7 units. b) Beginning with f(x)find the function g(x) that shows f(x)...
Your answer is incorrect. Try again. Let f(x) = g(h(x)) = (x - 7)3 + 2. Possible forms of g(x) and h(x) are O g(x) = x - 7, h(x) = x3 + 2. g(x) = x3 + 2, h(x) = x - 7. g(x) = (x - 7)3, n(x) = x - 2. g(x) = x - 2, h(x) = (x - 7)3. Click if you would like to Show Work for this question: Open Show Work x Incorrect....
1. Consider the curve given by the function f(x) = -4.83 27(x + 1)2 You are given that -4x²(x +3) - 8.1 f'(x) = and f"(x) = 27(x + 1)3 9(x + 1)4 Compile the following information about f(x) and its graph. Show your work to justify your answers to parts (f), (g), (h), (i) and (j). Otherwise, give answers only. Answer "NONE” if the function does not display a feature listed. 1] (a) Domain of f (b) x and...
Determine whether the statement is true or false. If false, explain why or give a counterexample that shows it is false. (2 pts each) b. If f(x,y) S g(x, y) for all (x, y) in , and both f and g are continuous over 2, then c. If f is continuous over 2 and 22, and if JJ, dA- jJa,dA, then f(x.y) dA- Jf(x.y) dA for any function fx,y). Determine whether the statement is true or false. If false, explain...
Answer both and show work. 1y=fle) L-5. Given the graph of the function f(x) shown to the right-the same graph is - used for L-2. Identify any points where f(2) is not con- tinuous and explain why using precise mathematical statements in relation to how the definition of continuity is not sat- isfied. You may refer to work in L-2 rather than repeat it. L-3. Given the function g(2) defined piecewise below, determine each of the following values, showing clearly...
Consider the functions fix)#2x + 7 and g(x)-2(x-7) (a) Find f(g/x)). (b) Find g(fx)) of each other O B. No values should be excluded from the domain (b) What is gtt(x)? Give any values of x that need to be excluded from g/f(x). Select the correct choice below and fil in any answer boxes within your choice (Use a comma to separate answers as needed) O B. No values should be excluded from the domair (c) Are the functions f...
show all work, no written work f(x)= Vx? -2.Vx -3 Given: %3D a. Investigate the function by these criteria: 1) Domain; 2) Axis intersections; 3) Asymptotes (show the relevant limits) 4) Intervals of increase and decrease; 5) Points of relative extremum; 6) Intervals of concavity (upward or downward); 7) Inflection points. 8) Draw the function's graph. b. Find the equations of the tangent lines to the graph of the function at all extremum and inflection points, and add them to...