Inverse Functions Quiz

Finding the inverse of the function f(x) = 2x - 3.

• f^(-1)(x) = (x + 3) / 2

• f^(-1)(x) = 2x + 3

• f^(-1)(x) = x - 3 / 2

• f^(-1)(x) = 2x / 3

Finding the inverse of the function g(x) = 4/x.

• y = 4/x

• y = 1/4x

• y = 4x

• y = x/4

Finding the inverse of the function h(x) = √(x + 5).

• y = x^2 - 5

• y = √(x - 5)

• y = x^2 + 5

• y = x + 5

Find the inverse of the function f(x) = x^2 + 5

• x^2 - 5

• √(x^2+5)

• √(x - 5)

• √(x + 5)

Verifying if the functions f(x) = 3x + 2 and g(x) = (x - 2)/3 are inverses.

• Not sure

• Maybe

• No

• Yes

Verifying if the functions f(x) = 2x and g(x) = x/2 are inverses.

• No

• Not sure

• Maybe

• Yes

Graph the inverse function of y = 4x - 1.

• The graph of the inverse function is y = (x + 1) / 4.

• The graph of the inverse function is y = 4x + 1.

• The graph of the inverse function is y = 1 - 4x.

• The graph of the inverse function is y = 4x - 1.

Graph the inverse function of y = (x + 3)^2.

• y = √(x) - 3

• y = x - 3

• y = √(x) + 3

• y = (x - 3)^2

Explain the domain and range of the inverse function of f(x) = 5x - 2.

• Domain: Only positive numbers; Range: Only negative numbers

• Domain: All integers; Range: All integers

• Domain: All real numbers; Range: All real numbers

• Domain: All real numbers; Range: Only positive numbers

Explain the domain and range of the inverse function of g(x) = 1/x.

• The domain of the inverse function is (-∞, 0) U (0, ∞) and the range is (-∞, 0) U (0, ∞).

• The domain of the inverse function is (0, ∞) U (-∞, 0) and the range is (0, ∞)

• The domain of the inverse function is (-∞, 0) and the range is (0, ∞)

• The domain of the inverse function is (-∞, 0) U (0, ∞) and the range is (-∞, 0)