Combining Functions Review Quiz

What is the composition of the functions f(x) = 2x + 3 and g(x) = x^2 - 1?

• f(g(x)) = 2x^2 - 2 + 3 = 2x^2 + 1

• f(g(x)) = 4x^2 + 2

• f(g(x)) = 2x^2 - 2

• f(g(x)) = 3x^2 + 1

Find the domain and range of the function h(x) = 3x - 2.

• Domain: All even numbers, Range: All even numbers

• Domain: All real numbers, Range: All real numbers

• Domain: Integers, Range: Integers

• Domain: Only positive numbers, Range: Only positive numbers

Simplify the expression (f + g)(x) where f(x) = 2x - 1 and g(x) = x^2 + 3x.

• 4x^2 + 2x - 1

• 3x^2 + 5x - 1

• 2x^2 - 3x - 1

• 2x^2 + 5x - 1

If f(x) = 4x - 1 and g(x) = x^2 + 2x, find (f - g)(x).

• 4x - 1 / (x^2 + 2x)

• 4x - 1 + (x^2 + 2x)

• 4x - 1 - (x^2 + 2x)

• 4x - 1 * (x^2 + 2x)

Determine the domain of the function k(x) = √(4x - 1).

• x ≥ 1/4

• x > 4

• x = 1/4

• x ≤ 1/4

What is the range of the function p(x) = x^2 + 5x - 6?

• The range of the function p(x) = x^2 + 5x - 6 is only positive numbers.

• The range of the function p(x) = x^2 + 5x - 6 is all real numbers greater than or equal to 0.

• The range of the function p(x) = x^2 + 5x - 6 is all real numbers less than or equal to the maximum value of the function.

• The range of the function p(x) = x^2 + 5x - 6 is all real numbers greater than or equal to the minimum value of the function.

If f(x) = 3x + 2 and g(x) = 2x - 1, find (f * g)(x).

• 4x - 2

• 6x + 1

• x^2 + 5

• 5x + 3

Find the composition of the functions f(x) = x^2 - 1 and g(x) = √(3x + 2).

• f(g(x)) = (3x + 2) + 1

• f(g(x)) = (3x + 2) - 1

• f(g(x)) = (3x + 2)^2 - 1

• f(g(x)) = √(3x + 2)^2 - 1

What is the domain of the function q(x) = 1/(2x - 3)?

• All real numbers except x = 3/2

• All real numbers except x = 5/4

• All real numbers except x = 1/2

• All real numbers except x = 2/3

If f(x) = x^2 + 1 and g(x) = 2x - 3, find (f / g)(x).

• (x^2 + 1) - (2x - 3)

• (x^2 + 1) / (2x - 3)

• (x^2 + 1) + (2x - 3)

• (x^2 + 1) * (2x - 3)