An exponential function is a mathematical function where the variable appears in the exponent. It can be written in the form y = ab^x, where a is the initial value and b is the base.
To solve an exponential function, you can use logarithms or take the logarithm of both sides of the equation to bring the variable down from the exponent. Then, you can use algebraic techniques to isolate the variable and solve for it.
x1/2 + x-1/2 is a mathematical expression that represents the sum of two terms. The first term, x1/2, means x raised to the power of 1/2 or the square root of x. The second term, x-1/2, means x raised to the power of -1/2 or 1 divided by the square root of x.
To simplify x1/2 + x-1/2, you can use the laws of exponents. Since both terms have the same base, x, you can add the exponents together to get x^(1/2 + (-1/2)) = x^0 = 1. Therefore, the simplified form is 1.
The "|" symbol in the expression x1/2 + x-1/2 | Help & Explanation is used to separate the mathematical expression from the explanation or help associated with it. It is commonly used in math to show a relationship or condition between two expressions or equations.