Question: Functions and Relations Lesson #2: Operations with Functions - Part One 13 )The functions fand g on the previous page are f(x) = x +

 Functions and Relations Lesson #2: Operations with Functions - Part One

Functions and Relations Lesson #2: Operations with Functions - Part One 13 ")The functions fand g on the previous page are f(x) = x + 2x + 1 and g(x) = x - 4. Write expressions for the functions (f + 8)(x) and (f- g)(x). X + ( X +( ) + 42 X 1 1 - X - 4 X + 3x -3 X + 5 ) Use a graphing calculator to graph the functions y = (f + g)(x) and y = (f - g)(x) from part d) and compare these graphs with the graphs from part c). f) State the domains of the functions (f+ g)(x) and (f - g)(x). g) Determine the values of (f + g)(8) and y = (f - 8)(-12). n ) In this example, the sum and difference of a linear function and a quadratic function are quadratic functions. Can you find a linear function and a quadratic function whose sum or difference is not a quadratic function

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