Problem 39c
Find fg and determine the domain for each function. f(x) = √x, g(x) = x − 4
Problem 39d
Find f/g and determine the domain for each function. f(x) = √x, g(x) = x − 4
Problem 40
Find , , , and . Determine the domain for each function.
,
Problem 41
Graph the given functions, f and g, in the same rectangular coordinate system. Select integers for x, starting with -2 and ending with 2. Once you have obtained your graphs, describe how the graph of g is related to the graph of f. f(x) = -2x, g(x) = -2x-1
Problem 41
In Exercises 41–44, use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Passing through (-3, 2) with slope - 6
Problem 41
Use the graph of y = f(x) to graph each function g. g(x) = -½ ƒ ( x + 2) - 2
Problem 41
In Exercises 39–48, give the slope and y-intercept of each line whose equation is given. Then graph the linear function. f(x) = -2x+1
Problem 41
Give the center and radius of the circle described by the equation and graph each equation. Use the graph to identify the relation's domain and range. x² + y² = 16
Problem 41a
Find ƒ+g and determine the domain for each function. f(x) = 2 + 1/x, g(x) = 1/x
Problem 41abc
In Exercises 39-52, a. Find an equation for ƒ¯¹(x). b. Graph ƒ and ƒ¯¹(x) in the same rectangular coordinate system. c. Use interval notation to give the domain and the range of f and ƒ¯¹. ƒ(x) = x² − 4, x ≥ 0
Problem 41b
Find ƒ-g and determine the domain for each function. f(x) = 2 + 1/x, g(x) = 1/x
Problem 41c
Find fg and determine the domain for each function. f(x) = 2 + 1/x, g(x) = 1/x
Problem 41d
Find f/g and determine the domain for each function. f(x) = 2 + 1/x, g(x) = 1/x
Problem 42
Find , , , and . Determine the domain for each function.
,
Problem 43
Give the center and radius of the circle described by the equation and graph each equation. Use the graph to identify the relation's domain and range. (x − 3)² + (y + 1)² = 36
Problem 43
Use the graph of y = f(x) to graph each function g. g(x) = (1/2)f(2x)
Problem 43
Give the slope and y-intercept of each line whose equation is given. Then graph the linear function. f(x) = (3/4)x-2
Problem 43
In Exercises 41–44, use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Passing through (4, -7) and parallel to the line whose equation is 3x + y - 9 = 0.
Problem 43a
Find ƒ+g and determine the domain for each function.
f(x)= = (5x+1)/(x² - 9), g(x) = (4x -2)/(x² - 9)
Problem 43abc
In Exercises 39-52, a. Find an equation for ƒ¯¹(x). b. Graph ƒ and ƒ¯¹(x) in the same rectangular coordinate system. c. Use interval notation to give the domain and the range off and ƒ¯¹. f(x) = (x − 1)², x ≤ 1
Problem 43b
Find f−g and determine the domain for each function. f(x)= = (5x+1)/(x² - 9), g(x) = (4x -2)/(x² - 9)
Problem 43c
Find fg and determine the domain for each function. f(x)= = (5x+1)/(x² - 9), g(x) = (4x -2)/(x² - 9)
Problem 43d
Find f/g and determine the domain for each function. f(x)= = (5x+1)/(x² - 9), g(x) = (4x -2)/(x² - 9)
Problem 44
In Exercises 41–44, use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Passing through (-3, 6) and perpendicular to the line whose equation is y = (1/3)x + 4
Problem 44
Find ƒ+g, f−g, fg, and f/g. Determine the domain for each function. f(x)= = (3x+1)/(x² - 25), g(x) = (2x -4)/(x² - 25)
Problem 44a
In Exercises 39–50, graph the given functions, f and g, in the same rectangular coordinate system. Select integers for x, starting with -2 and ending with 2. Once you have obtained your graphs, describe how the graph of g is related to the graph of f. f(x) = x², g(x) = x² - 2
Problem 45
Graph the given functions, f and g, in the same rectangular coordinate system. Select integers for x, starting with -2 and ending with 2. Once you have obtained your graphs, describe how the graph of g is related to the graph of f. f(x) = |x|, g(x) = |x| − 2
Problem 45
Use the graph of y = f(x) to graph each function g. g(x) = f(x-1) – 1
Problem 45
Give the center and radius of the circle described by the equation and graph each equation. Use the graph to identify the relation's domain and range. (x+3)² + (y - 2)² = 4
Problem 45
After a 30% price reduction, you purchase a 50″ 4K UHD TV for $245. What was the television's price before the reduction?
Ch. 2 - Functions and Graphs
