Functions and Algebra
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Questions and Answers

What is the domain of the function f(x) = x^2 - 5?

  • All real numbers except -5
  • All real numbers (correct)
  • All real numbers except 0
  • All real numbers except 1

    • What is the range of the function g(x) = 2x + 1?

  • All real numbers except -2
  • All real numbers (correct)
  • All real numbers except 1
  • All real numbers except 0

    • If f(x) = x^2 - 2 and g(x) = 2x + 1, what is the composition (f ∘ g)(x)?

  • x^2 + 4x - 2 (correct)
  • x^2 - 2x - 1
  • x^2 + 2x - 1
  • x^2 - 4x + 1

    • What is the x-intercept of the quadratic function f(x) = x^2 - 4x + 3?

    <p>(-1, 0)</p> Signup and view all the answers

    If f(x) = x^2 - 2 and g(x) = 2x + 1, what is the composition (g ∘ f)(x)?

    <p>2x^2 - 4x + 1</p> Signup and view all the answers

    What is the vertex of the quadratic function f(x) = x^2 - 4x + 3?

    <p>(-1, 2)</p> Signup and view all the answers

    What is the domain of the function f(x) = 1/x?

    <p>All real numbers except 0</p> Signup and view all the answers

    If f(x) = x^2 - 2 and g(x) = 2x + 1, what is the composition (f ∘ g)(x) when x = 1?

    <p>1</p> Signup and view all the answers

    What is the range of the function f(x) = x^2 - 5?

    <p>All real numbers</p> Signup and view all the answers

    What is the equation of the quadratic function that passes through the points (1, 2), (2, 3), and (3, 4)?

    <p>f(x) = x^2 + 2x + 1</p> Signup and view all the answers

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