Function & Relation Mastery

Evaluate the function f(x) = 2x - 3 at x = 5.

• 7

• 8

• 10

• 12

Determine the domain of the function g(x) = sqrt(x + 1).

• x >= -1

• x = 0

• x > -1

• x < -1

Perform the operation (f + g)(x) where f(x) = x^2 and g(x) = 2x.

• x^2 + x

• x^2 + 2x

• x^2 - 2x

• 2x^2

Identify where the function k(x) = 1/x is undefined.

• k(x) is undefined when x = 0.

• k(x) is undefined when x = 2

• k(x) is undefined when x = -1

• k(x) is undefined when x = 1

Calculate f(3) for the function f(x) = 4x^2 - 5x + 1.

• 22

• 10

• 15

• 30

What is the domain of the function p(x) = 2x + 1?

• (-∞, +∞)

• [0, +∞)

• (-∞, 0]

• [1, +∞)

Find (g - h)(x) for g(x) = 3x and h(x) = x^2.

• 3x + x^2

• 3x * x^2

• 3x / x^2

• 3x - x^2

Where is the function r(x) = sqrt(x - 2) undefined?

• x < 0

• x < 2

• x > 2

• x = 2

Evaluate the function s(x) = 2x^3 - 5x^2 + 3 at x = -2.

• -25

• -33

• -10

• -18

What is the domain of the function t(x) = sqrt(4x - 1)?

• x > 1/4

• x = 1/4

• x <= 1/4

• x >= 1/4