A function f(x) is given
f(x) - log3(log6(x))
(a) Find the domain of the function f.
(b) Find the inverse function of f.
f-1(x) = _______
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)...
What's the equation of the graphed logarithmic function below? A. f(x) = log3(x + 2) B. f(x) = log3x – 2 C. f(x) = log3x D. f(x) = log3(x – 2)
7. Let f(x)= log3 a and g(x) = 3" (a) Find the function fog (b) Graph f(x), g(x), and h(x) = x on the same grid.
Tutorial Exercise Verify that fhas an inverse function. Then use the function f and the given real number a to find (R-1)(a). (Hint: See Example 1. If an answer does not exist, enter DNE.) f(x) = x3 - 4, a = 121 Step 1 The given function is f(x) = x - 4. Differentiate f(x) with respect to x. f'(x) = 3 3 x Step 2 The function f'(x) = 3x2 is always non-negative non-negative on the domain of f(x)....
Please answer the following questions with solution, thanks 4. Consider the function f(x) = 2x + 1, a) Find the ordered pair (4. f(4) on the function. b) Find the ordered pair on the inverse relation that corresponds to the ordered pair from part a). c) Find the domain and range of f. d) Find the domain and the range of the inverse relation off. e) Is the inverse relation a function? Explain. 5. Repeat question 4 for the function...
Determine whether or not the given function is one-to-one and if so, find the inverse. If f(x) = (4x + 2)* has an inverse, give the domain of f-1. a) Of c) = (2 - 4x)1/4; domain: 2) 2 - 1/4 b) O f-1(2) = domain: (0,0) 4 c) Not one-to-one d) Of () 1/4 - 2 -; domain: (-0,0) 4 e) Of (2) = 2-1/4 -; domain: 4 (1:0) Question 4 Determine whether or not the given function is...
Graph the function g(x)- log3 (x1) and give its domain and range using interval notation Domain: Range
11. Given the function f(x) = 2sin(x). (11 pts total) NG -21 -5 -4 1 -6 -3 -2 -1 Mće. @p1 (4 pts) a. Graph fon the axes above. How should the domain be restricted so that f is one-to-one? Write your answer using set-builder notation. (4 pts) b. Algebraically find the inverse function, f-1(x). Sketch the graph of f-1 on the axes above. Remember that the graphs off and f-1 are symmetric about the 45° line! (3 pts) C....
3. Consider the function f :D → R given by f(x) = the following x - x. With the a (a) Find the derivative of f. Is the function strictly increasing, dec (b) Find the second derivative of f. Is the function strictly concave neither? (c) Suppose D = [0, 1] find the maximum and the minimum of f. (d) Suppose the domain D = (0,1), find the maximum and the min (e) Suppose the domain D = [0, 0),...
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