ALGEBRA OF FUNCTIONS: NOTATION

Solve F(x) for the given domain. F(x) = x 2 + 3x - 2 F(-1) = -4 -6 2

-4

Solve F(x) for the given domain. F(x) = x 2 + 3x - 2 F(3) = 13 40 16

16

Solve F(x) for the given domain. F(x) = x 2 + 3x - 2 F(1) = 2 3 30

2

Solve G(x) for the given domain. G(x) = 3x 2 - 2x - 1 G(6) = 95 23 287

95

1. has a value which depends on the value of the other number in the ordered pair

dependent variable

2. has a value which does not depend on the value of the other number in the ordered pair

independent variable

Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution. F(x) = x2 + 3x - 2 F(x - 1) =

F(x) = x^2 + 3(x-1) - 1 F(x-1) = (x-1)^2 + 3(x-1) - 2 F(x-1) = x^2 - x - x + 1 + 3x - 3 -2 F(x-1) = x^2 - 2x + 1 + 3x - 5 F(x-1) = x^2 + x - 4

Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution. F(x) = x2 + 3x - 2 F(a) =

F(x) = x^2 + 3x - 2 F(a) = a^2 + 3(a) - 2

Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution. F(x) = x2 + 2 F(x + h) =

F(x) = x² + 2 F(x + h) = (x + h )² + 2 F(x + h) = x² + 2xh + h² + 2

Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution. F(x) = x2 + 2 F(x - h) =

F(x-h) = (x-h)^2 + 2 F(x−h) = x2 − 2hx + h2 + 2

Solve G(x) for the given domain. Include all of your work in your final answer. Submit your solution. G(x) = 3x2 - 2x - 1 G(a + b) =

G(a+b) = 3(a + b)^2 - 2(a + b) - 1 G(a + b) = 3(a^2 + 2ab + b^2) - 2a - 2b - 1 G(a + b) = 3a^2 + 6ab + 3b^2 - 2a - 2b - 1