Question

If f(x)=2x²+3x+1, what is the value of f(-2)

Answer 1

The value of f(-2) for the given function f(x) = 2
`x^2`+ 3x + 1 is 3. It involves plugging the given value into the function and simplifying the expression according to mathematical rules.

Step-by-step explanation:

To find f(-2), substitute -2 for x in the function f(x) = 2
`x^2` + 3x + 1 :

`\[ f(-2) = 2(-2)^2 + 3(-2) + 1 \]`

Simplify the expression step by step:

f(-2) = 2(4) - 6 + 1

f(-2) = 8 - 6 + 1

f(-2) = 3

Therefore, f(-2) = 3

In this calculation, we substituted -2 for x in the given quadratic function and followed the order of operations (PEMDAS - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to evaluate the expression.

The result f(-2) = 3 represents the value of the quadratic function at x = -2 . This process is a fundamental concept in algebra, where we substitute specific values into functions to determine their corresponding outputs.