Tutorial Exercise Verify that fhas an inverse function. Then use the function f and the given...
how do you find the domain and range 3. (10 points) Find the inverse of the given function using these steps 1. Replacef(x) withy. 2. Interchange x and y. 3. Solve for y. 4·Rep lacey with广1(x). X- +/3对 Domain of fox): p Domain off-1(x): し aotuta 9- 3 f(x) = x-3 Uncti INVERSE Domaim Range of f x): -多す
A quadratic function f is given. flx) = -x2. 4x 3 (a) Express f in transformation form. f(x) (b) Find the vertex and x and y-intercepts of f. (If an answer does not exist, enter DNE.) (x, y) vertex (x, y) (smaller x-value) x-intercepts (x, y) (larger x-value) (x, y) yintercept (c) Sketch a graph of f. Tools Actions Clear Al 1. Select an object from the Tools menu to the left. Delato 2. Enter coordinates in Object Properties below,...
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...
Find the inverse function of f informally. f(x) = 7x f-1(x) = Verify that f(F-1(x)) = x and f-1(f(x)) = x. AF-1(x)) = f( = X f-1(f(x)) = f-1 7x = X Use the table of values for y = (x) to complete a table for y = f'(x). (Order your answers from smallest to largest x-value.) х -1 0 1 2 3 4 13 f(x) الميا 5 7 9 11 (x)
Show that the given function is one-to-one and find its inverse. Check your answers algebraically and graphically. Verify that the range of f is the domain of f−1 and vice-versa. 7. f(x)3x- 1- 4 7. f(x)3x- 1- 4
A graph of a function f is given. Does f have an inverse? Yes Ο Νο If so, find the following. (If an answer does not exist, enter DNE.) f-1(-2) = f-1(6) =
Verify by substitution that the given function is a solution of the given differential equation. Note that any primes denote derivatives with respect to x. y' = 4x3y = x + 6 What step should you take to verify that the function is a solution to the given differential equation? O O O O A. Substitute the given function into the differential equation, B . Integrate the function and substitute into the differential equation C . Determine the first and...
Verify that the following function satisfies the hypotheses of the Mean Value Theorem on the given interval. Then, find all numbers c that satisfies the conclusion of the Mean Value Theorem. f(x) = x3 - 3x + 1, [-2,2] step-by-step answers are appreciated. Thank you for the help in advance!
Find the inverse function f of the function f. Find the range of f and the domain and range of f f(x)=-tan (x + 3)-2-3-2…2-3 Find the inverse, f ,off. f (x) (Use integers or fractions for any numbers in the expression.) The range of f(x) is (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) The domain of f (x) is (Type your answer in interval notation. Use integers or fractions for...
Find the inverse function f1 of the function f. Find the range of f and the domain and range off"1. fx) tan(+4-7 Find the inverse, f 1, of f. fx)tan -x-4)-7 (Use integers or fractions for any numbers in the expression.) The range of fx) is (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)