is this function one to one? if so, how did you determine that. b) f(x) -...
thank you so much for helping! Problem 4. (20 pts) Determine whether function f : {NU0} + {NUO} defined by f(x) = ſx-1, if r is odd x+1, is even is a) one-to-one b) onto. Problem 5. Given f(x) = x+1 and g(x) = -2, find (fog)(x) (5 pts)
How would you limit the domain to make this function one to one? f(x) = x4 Your answer will be the point to which you would limit the function. So if you would restrict the domain to either all x values greater than or equal to two or all x values less than or equal to two, you would simply enter 2.
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...
For the function, f(x)#x3-7, determine whether it is one-to-one. If the function is one-toone, fnd a formula for the inverse Select the correct choice below and, if necessary, fill in the answer box to complete your choice. ○ A. Yes, the function is one-to-one. The inverse function is f (x)- O B. No, the function is not one-to-one. For the function, f(x)#x3-7, determine whether it is one-to-one. If the function is one-toone, fnd a formula for the inverse Select the...
ider the function. (Objective 3) f(x) x - 5 (a) Find f-1 f-1x) (b) Determine whether (f o f-1)(x) - x and (f-1 o f(x)- x O Yes O No ider the function. (Objective 3) 4 8 (a) Find f-1 f-1(x) = (b) Determine whether (fo f-1)(x)-x and (f-1。0x) = x. O Yes O No Consider the function. (Objective 3) f(x) = 6x + 8 (a) Find f-1 f-1(x) =
4. Define the function f(x) = x/(e* – 1) so that f(0) = 1, then the Maclaurin expansion of f(x) has a positive radius of convergence. a) When the Maclaurin expansion is expressed in the form B2 B3 3 i=1+ B13 +31 x2 + x3 + ... + x" + ... n! the coefficients B1, B2, B3,... are called the Bernoulli numbers. Substitute the Maclaurin series for et and use polynomial long-division to find the first four Bernoulli numbers. b)...
The one-to-one function f is defined below. 1. f(x) = 2 2 B Find f'(x), where f is the inverse of f. Also state the domain and range of f in interval notation. 5 "(t) = 0 H (0,0) [0,0] OVO (0,0] [0,0) Domain of f : Ø -00 Range of f1? : 0 x 3 ?
The function f(x) = 3-7x is one-to-one. 5+11x (a) Find the inverse of f. (b) State the domain and range of f. (c) State the domain and range of f-1.
The function f is one-to-one. Find its inverse. f(x) = 3 = x + 5 of?(x) = ? 3 5 f1(x) = 1 x3 +5 Of(x) = 3 //x + 5 o f1(x) = x-5 O None of these
The density function of X is given by f(x) = a + bx2 if 0 ? x ? 1 0 otherwise. Suppose also that you are told that E(X) = 3/5. (a) Find a and b. (b) Determine the cdf, F(x), explicilty. Problem 4. The density function of X is given by f(z) = 0 otherwise. Suppose also that you are told that E(X-3/5. (a) Find a and b. b) Determine the cdf, F(r