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....
12 lim f(x), and lim f(x) Use oo or - co when appropriate ra x-a Find all vertical asymptotes, x= a, of the following function For each value of a, evaluate lim f(x) x-a x2 - 10x +21 f(x) = x2 - 7x + 12 Select the correct choice below, and fill in the answer box if necessary OA The vertical asymptote is x = The limits at this vertical asymptote are lim f(x)= xa lim f(x) xa and tim...
Show work thumbs up VII. Functions Find the Domain of each function. f(x)--/-x2-4x + 5 g(x)-In(4t-3) a) b) e) h(x)- +3x2 -x-3 Find the zeros, vertical asymptotes, and horizontal asymptotes f(x) = 3x"-14x-5 (4x-17x-15 6x2 -7x-5 f(x) = -12 万 b) Transformations a) Beginning with f(x)- Vx, find the function g(x) that shows fcx) shited to the let 2 units, reflected over the x-axis, and then shifted up 7 units. b) Beginning with f(x)find the function g(x) that shows f(x)...
16 pts. 12. (a) Simplif 7x2 +15x+2 Simplify x? 49x2 -1 .7x?-X (b) For f(x) = +*+12 and g(x)= v16, find (x)= $(x)=g(x)
21. Given the functions f(x) = 7 - 4x and g(x) = 2.c? -5, find (gof)(s) and simplify. Show all work. Todo brillano Toy 12-16-
Evaluate the function f(x) = x2 - 8x - 7 at the given values of the independent variable and simplify. a. f(6) b. f(x +9) c. f(-x) a. f(6)= (Simplify your answer.)
please help! Use the given function f to answer parts (a) through (f) below. f(x) = -5+ log2(x-1) (a) Find the domain of t. The domain offis (Type your answer in interval notation.) (b) Choose the correct graph off below. ОА. ОВ. 10 Q Oc. OD Ay o a 10- 10 o Q -10 10 10 10 2 -10 10 (c) From the graph, determine the range and any asymptotes off. The range of fis (Type your answer in interval...
This Question: 1 pt The function f(x) = 7x + 3 x-1.x+1, is one-to-one. Find an equation for f '(x), the inverse function. f'(x)=x+7 (Simplify your answer. Use integers or fractions for any numbe
1 = 2 = 3 = 4 = 5 Given f (x) = x² +7x, (a) Find f(x+h) and simplify. f(x+h)-f(x) (b) Find and simplify. h Part: 0/2 Part 1 of 2 (a) f(x+h) = +O D-O X 5 Next Part Search here
Question 21 Given that f(x)= 3x + 6 x - 4 Determine all its asymptotes. Question 22 $500 is compounded continuously at 3% APR for 4 years. Determine its future value. Round the answer to the nearest hundredth dollar. Question 23 Given that f(x) = - ex+2 + 1. Determine its range, in interval notation.