Final answer:
In mathematics, the expression (-1)f(-1) means to plug in the value of -1 into the function f(x). This can also be written as f(-1). Therefore, the final answer is the output or the solution when x is equal to -1, thus the correct option is C.
Step-by-step explanation:
In mathematics, the expression (-1)f(-1) means to plug in the value of -1 into the function f(x). This can also be written as f(-1). Therefore, the final answer is the output or the solution when x is equal to -1.
Step-by-step explanation:
To understand this further, let's first define a function as a rule that relates one set of numbers (input) to another set of numbers (output). In this case, the function f(x) is the rule that relates the input x to the output f(x).
Now, let's substitute the value of -1 into the function f(x). This means that wherever there is an x in the function, we will replace it with -1. Therefore, we have f(-1).
Next, we need to understand the concept of a negative number raised to a power. A negative number raised to an even power will always result in a positive number. On the other hand, a negative number raised to an odd power will always result in a negative number.
In this case, we have -1 raised to the power of -1. Since -1 is a negative number and the power is -1, which is an odd number, the result will be a negative number. Therefore, the final answer is -1.
In terms of calculations, we can write this expression as (-1)^(-1). To solve this, we need to remember the rule that says a number raised to a negative power is equal to its reciprocal raised to the positive power. In other words, (-1)^(-1) is the same as 1/(-1)^1, which simplifies to -1.
In conclusion, the expression (-1)f(-1) or f(-1) represents the output or solution when the input is -1. The final answer is -1, which can also be written as (-1)^(-1). This can be solved by applying the rule for negative exponents, which states that a number raised to a negative power is equal to its reciprocal raised to the positive power, thus the correct option is C.