Exploring Operations with Functions

What is the result of adding the functions f(x) = 2x + 5 and g(x) = x^2 - 4?

• 2x^2 + 2x + 5

• x^2 + 2x + 1

• 2x^2 + 5x - 4

• x^2 + 7x + 1

What is the result of subtracting g(x) = x^2 - 4 from f(x) = 2x + 5?

• -x^2 + 2x + 9

• 2x^2 + 5x - 9

• x^2 - 2x - 9

• x^2 + 2x + 9

What is the product of the functions f(x) = 2x + 5 and g(x) = x^2 - 4?

• 2x^3 + 5x^2 + 8x - 20

• 2x^3 - 5x^2 - 8x + 20

• 2x^3 + 5x^2 - 8x + 20

• 2x^3 + 5x^2 - 8x - 20

What is the domain of the function f(x) = 2x + 5 divided by g(x) = x^2 - 4?

• All real numbers except -2 and 2

• All real numbers except -4 and 4

• All real numbers except 0

• All real numbers

For the function 1/(x-3), what value of x is not allowed?

• x = 0

• x = 3

• x = 4

• x = -3

For the function 1/((x-4)(x+3)), what values of x are not allowed?

• x = 4 and x = 3

• x = 3 and x = -4

• x = 4 and x = -3

• x = -4 and x = -3

What is the value of f(2) for the function f(x) = 4x + 5?

• 8

• 12

• 13

• 9

What is the value of g(3) for the function g(x) = 8 - x^2?

• 5

• 1

• -1

• 7

What is the result of f(2) + g(3) for the functions f(x) = 4x + 5 and g(x) = 8 - x^2?

• 10

• 12

• 14

• 16

What is the result of f(-2) * g(2) for the functions f(x) = 4x + 5 and g(x) = 8 - x^2?

• -14

• -12

• -10

• -8