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Problem 29
Find the domain of each function. f(x) = (2x+7)/(x3 - 5x2 - 4x+20)
Problem 29a
In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify.g(x) = x² + 2x + 3 a. g(-1)
Problem 30
In Exercises 19–30, find the midpoint of each line segment with the given endpoints. (√50, −6) and (√2, 6)
Problem 30
Use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Passing through (−2, −4) and (1, −1)
Problem 30a
Evaluate each function at the given values of the independent variable and simplify. g(x) = x² - 10x - 3 a. g(-1)
Problem 30b
In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify. g(x) = x² - 10x - 3 b. g(x+2)
Problem 30c
Evaluate each function at the given values of the independent variable and simplify. g(x) = x² - 10x - 3 c. g(-x)
Problem 31
Which graphs in Exercises 29–34 represent functions that have inverse functions?
Problem 31
In Exercises 31–32, the domain of each piecewise function is (-∞, ∞) (a) Graph each function. (b) Use the graph to determine the function's range.
Problem 31
Write the standard form of the equation of the circle with the given center and radius. Center (0, 0), r = 7
Problem 31a
Find ƒ+g and determine the domain for each function. f(x) = 2x + 3, g(x) = x − 1
Problem 31a
Evaluate each function at the given values of the independent variable and simplify. h(x) = x4 - x2+1 a. h (2)
Problem 31b
Find f−g and determine the domain for each function. f(x) = 2x + 3, g(x) = x − 1
Problem 31b
Evaluate each function at the given values of the independent variable and simplify. h(x) = x4 - x2 +1 b. h (-1)
Problem 31c
In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify. h(x) = x4 - x2+1 c. h (-x)
Problem 31c
Find fg and determine the domain for each function. f(x) = 2x + 3, g(x) = x − 1
Problem 31d
Find f/g and determine the domain for each function. f(x) = 2x + 3, g(x) = x − 1
Problem 31d
In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify. h(x) = x4 - x2 +1 d. h (3a)
Problem 32
Use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Passing through (−3, 6) and (3, −2)
Problem 32
Use the graph of y = f(x) to graph each function g. g(x) = 2f(x+2) − 1
Problem 32a
Evaluate each function at the given values of the independent variable and simplify. h(x) = x³ − x + 1 a. h (3)
Problem 32b
Evaluate each function at the given values of the independent variable and simplify. h(x) = x³ − x + 1 b. h (-2)
Problem 32c
Evaluate each function at the given values of the independent variable and simplify. h(x) = x³ − x + 1 c. h (-x)
Problem 32d
Evaluate each function at the given values of the independent variable and simplify. h(x) = x³ − x + 1 d. h (3a)
Problem 33
Write the standard form of the equation of the circle with the given center and radius. Center (3, 2), r = 5
Problem 33
Which graphs in Exercises 29–34 represent functions that have inverse functions?
Problem 33
Find f−g and determine the domain for each function. f(x) = x -5, g(x) = 3x²
Problem 33
Use the graph of y = f(x) to graph each function g. g(x) = f(x)+2
Problem 33a
Evaluate each function at the given values of the independent variable and simplify.
Problem 33a
Find ƒ+g and determine the domain for each function. f(x) = x -5, g(x) = 3x²
