Question: 7 The function f is defined as f (x) = 2.x- - 4 Find f (x -6). Write your answer without parentheses, and simplify it

 7 The function f is defined as f (x) = 2.x-- 4 Find f (x -6). Write your answer without parentheses, andsimplify it as much as possible. f (x - 6) = 0X 5The functions f and g are defined as follows. x+6 f(x ) : x - 12x + 36 x+7 g ( x)= x- -49 For each function, find the domain. Write each answeras an interval or union of intervals. Domain of f : Domainof g :The entire graph of the function g is shown inthe figure below. Write the domain and range ofg as intervals orunions of intervals. domam range \f8 Consider the line _1' = 3x1. Find the equation of the line that is perpendicular to thisline and passes through the point (9, 4). Find the equation ofthe line that is parallel to this line and passes through thepoint (9, -4). Note that the ALEKS graphing calculator may be helpfulin checking your answer. El Equation of perpendicular line: I] % :IEquation of parallel line: D omplete the following. (a) The graph ofy = h (x) is shown. Draw the graph of y =-h (x+2). (b) The graph of y =f (x) is shown. Drawthe graph of y =f (2x) - 1. 6- 4/ 6- Eraser
4 4 X -2 5 2 -2- 8 -6 X 2 56 -2- - 6-Three functions are given below. For each, decide whetherit is an even function, an odd function, or neither. fix) =x: x {j Even a} Odd {j Neither Suppose that the functiong is defined, for all real numbers, as follows. if ximage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribed

7 The function f is defined as f (x) = 2.x- - 4 Find f (x -6). Write your answer without parentheses, and simplify it as much as possible. f (x - 6) = 0 X 5The functions f and g are defined as follows. x+6 f (x ) : x - 12x + 36 x+7 g ( x) = x- -49 For each function, find the domain. Write each answer as an interval or union of intervals. Domain of f : Domain of g :The entire graph of the function g is shown in the figure below. Write the domain and range ofg as intervals or unions of intervals. domam range \f8 Consider the line _1' = 3x 1. Find the equation of the line that is perpendicular to this line and passes through the point (9, 4). Find the equation of the line that is parallel to this line and passes through the point (9, -4). Note that the ALEKS graphing calculator may be helpful in checking your answer. El Equation of perpendicular line: I] % :I Equation of parallel line: D omplete the following. (a) The graph of y = h (x) is shown. Draw the graph of y = -h (x+2). (b) The graph of y =f (x) is shown. Draw the graph of y =f (2x) - 1. 6- 4/ 6- Eraser 4 4 X -2 5 2 -2- 8 -6 X 2 5 6 -2- - 6-Three functions are given below. For each, decide whether it is an even function, an odd function, or neither. fix) = x: x {j Even a} Odd {j Neither Suppose that the function g is defined, for all real numbers, as follows. if x

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