Find two functions fand g such that (fog)(x) = h(x). (There are many correct answers. Use...
Express the function in the form fog. (Use non-identity functions for fand g.) G(x) = V 84x {f(x), g(x)} = { Need Help? Read It Talk to a Tutor
. Find functions f and g so that fog-H. H(x)-(8x+9)3 Choose the correct pair of functions.
Find two functions f and g such that (f X g)(x) = h(x). ( There are many correct answers. My answers were f(x) = 4/5x and g(x) = 5x + 2 but this was wrong.
Question 12 of 23 (1 point) Find two functions f and g such that h(x)=(fog)(x) and f(x) * g() + x. n(x) = */7x +5 f(x)=0 and g(x)=0 Question 14 of 23 (1 point) The one-to-one function is given. Write an equation for the inverse function. 2 s(x) = х 3
Q4 (4 points) (a) (1.5p) Find f +g-h, fog, fog•h if f(x) = (x - 3, g(x) = x^, and h(x) = x* + 2 (b) 0(1p) Find the inverse of the function f(x) = 4x - 1 2x + 3 () (0.5p) Find f(-)) (c) Simplify: 0 (1p) In(a) + { ln(b) + Inc mais)
Question 7 7. For each pair of functions fand g below, find (x)) and g (fx). Then, determine whether fand g are inverses of each other Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) (a) (x) 2x x1 (b) f(x) =T g (x)=2x + 1 f(g (x)) = f(g (x)) = fand g are inverses of each other...
1. If fand g are both even functions, is the product fg even? If f and g both odd functions, is fg odd? What if f is even and g is odd? Justify your answers. (10 points) Find the domain g(x) =-. (10 points) 2. of the composited function fog, where f(x)=x+ and x +1 x+2 3. Let ifx <1 g(x) = x-3 ifx >2 Evaluate each of the following, if it exists. (10 points) lim g(x) lim gx)(i) lim...
The functions fand g are given. Find each of the following functions and determine their domain. (Enter your answer for each domain using interval notation.) (x) = 3x + 4 and g(x)=2x-3 (a) (f+)x) function (f+)() - domain (b) (- 9)x) function (f - 9)x) = domain C) (f. 9x) function (f)(x) = domain function domain
For the given functions, find (fog)(x) and (g of)(x) and the domain of each. f(x) = 2x + 1, g(x) = √x
For f(x)=x2 +2 and g(x)=x2-3, find the following functions. a. (fog)(x); b. (gof)(x); C. (fog)(3); d. (gof)(3) a. (fog)(x)=0 (Simplify your answer.) b. (gof)(x)=0 (Simplify your answer.) c. (fog)(3)=0 d. (gof)(3)=