Which of the following functions is not a polynomial?
Practice Questions
Q1
Which of the following functions is not a polynomial?
f(x) = x^3 + 2x^2 - 5
g(x) = 1/x
h(x) = 4x - 7
k(x) = 2
Questions & Step-by-Step Solutions
Which of the following functions is not a polynomial?
Correct Answer: g(x) = 1/x
Step 1: Understand what a polynomial is. A polynomial is a mathematical expression that can include constants, variables, and non-negative integer exponents.
Step 2: Look at the function g(x) = 1/x. This can be rewritten as g(x) = x^(-1).
Step 3: Notice that the exponent in g(x) = x^(-1) is -1, which is a negative exponent.
Step 4: Since polynomials cannot have negative exponents, g(x) = 1/x is not a polynomial.
