# Consider the graphs of the two functions, f (x) and 8 (x), given be...

## Transcribed Text

Consider the graphs of the two functions, f (x) and 8 (x), given below. y = f (x) \$ y y = g (x) y 4 3 4 2 -4 X x -1 -4 4 2 2 -3 -4 4 4 -4 5. .5 2. Sketch the graph of the function that is the sum of f (x) and g (x) on the graph below. y 5 -4 -3° -2 -1 1 2 3 4 5 4- 4 3 2- 1 x -0 4 -4 -1- -4- -4- 15. Clearly answer each of the questions below in the space provided. 1. Given the functions, f (x) = x-4 - and g(x)=**2 = x+2 determine an expression for h (x) such that . f(x) = X -4 g (x) = X+2 X-2 - h(x) = (tos) g (x) - 3x + 10 + X - 2 = h(x) 2 Xt 2 X - f (x+2) X -2 - = h(x) (-3x+10) (x - 2) x+2 (x-2) (X+2) x-2 X t 2 - 4x + 8 = h xlx) X- 2 X+2 x-2 - - 3x + 10 X - 2. = h(x) X + 2 X-2 - Consider the two functions given below. h(x)=2x-1 - k(x)=2x'+1 3. On the graph below, sketch the graph of the composite function, koh. y 1 2 3 4 5 4- 4 o x -4 4 -4- -4 -

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