Consider the functions f(x) – 2x + 7 and g(x) = (x+3. Determine each of the...
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...
For the given functions, find (fog)(x) and (g of)(x) and the domain of each. f(x) = 2x + 1, g(x) = √x
please answer to the question in the figure. Find each of the following functions. rx) = V5-x, g(x) = VX2-4 (a) fg State the domain of the function. (Enter your answer using interval notation.) (b) f-9 State the domain of the function. (Enter your answer using interval notation.) (c) fg State the domain of the function. (Enter your answer using interval notation.) (d) fig State the domain of the function. (Enter your answer using interval notation.) x+2 (a) fog (fo...
7x + 4 3x - 4 Consider the functions f(x) = and g(x) = x+3 7-X (a) Find f(g(x)) (b) Find g(f(x)) (C) Determine whether the functions f and g are inverses of each other. ary (a) What is f(g(x))? f(g(x)) = (Simplify your answer.) Give any values of that need to be excluded from f(g(x)). Select the correct choice below and fill in any a ols > ОА. XF (Use a comma to separate answers as needed.) O B....
7. We list several pairs of functions f and g. For each pair, please do the following: Determine which of go f and fog is defined, and find the resulting function(s) in case if they are defined. In case both are defined, determine whether or not go f = fog. (a) f = {(1,2), (2,3), (3, 4)} and g = {(2,1),(3,1),(4,1)). (b) f = {(1,4), (2, 2), (3, 3), (4,1)} and g = {(1, 1), (2, 1), (3, 4),(4,4)}. (c)...
3. (8 points, 4 points each) f(x)-2x - 1 and g(x)-3x + 4, are functions from R to R. Find a. fog b. gof
7. Determine if the two functions f and g are inverses of each other algebraically. If not, why not? X-1 X + 3 f(x) = g(x) = X-3 X + 1 0 Yes 1 No, o g)(x) = X 1 No. (fog)(x) = X
Find (fog)(x) and (gof)(x) and the domain of each f(x) = x²-6, g(x) = 2x - 4 (fog)(x) = _______ (Simplify your answer) (gof)(x) = _______ (Simplify your answer.) The domain of (fog)(x) is _______ (Type your answer in interval notation.) The domain of (gof)(x) is _______ (Type your answer in interval notation.)
please answer ❤️ For f(x) = 2x and g(x)= x + 2, find the following functions. a. (fog)(x); b. (gof)(x); c. (fog)(3); d. (gof)(3) a. (fog)(x) = (Simplify your answer.) b. (gof)(x) = 0 (Simplify your answer.) C. (fog)(3) = d. (gof)(3)=0
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