combinations of different functions work

WRITTEN RESPONSE

Determine whether the statement is true or false. Justify your answers.

1. The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis.
2. The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis.

MULTIPLE CHOICE

3. Given the functions: f(x) = x² + 3x and g(x) = -3 + x what is f(x) + g(x) ?

x² + 3x – 3

x² + 4x – 3

x² – 3x + 3

x² – 4x + 3

4. Given the functions: f(x) = x + 4 and g(x) = x -3 what is (f*g)(x) ?

x² + 3x + 12

x² + x + 12

x² + 4x – 12

x² + x – 12

5. Given the functions: f(x) = x² – 9 and g(x) = x-3 what is (f/g)(x) ?

x – 3

x – 9

x + 3

x + 9

6. Given the functions: f(x) = a² – 2ab + b²c and g(x) = -3b²c + 6ab what is (f-g)(x) ?

a² – 8ab + 4b²c

a² – 8ab + 2b²c

a² + 8ab – 2b²c

a² + 8ab – 4b²c

7. Given the functions: f(x) = x² + 3x and g(x) = -3 + x what is f(g(x)) ?

x² – 3x

x² – 3x + 9

x² + 3x + 9

3x + 9