Example of a system of inequalities that has no solution.
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Answer:
The output when x = -9 is f(x) = 187.
Step-by-step explanation:
We are given a function and asked to find the output of that function.
- The <u>input</u> of a function refers to a value that is substituted into the function in order to simplify it to a final value.
- The <u>output</u> of a function is the value that is achieved when the input is substituted into the equation and the function is evaluated.
Our standard function is in the form of a quadratic equation.
Let's check for a change in the presentation of the first value in the equation.
We see that x becomes -9. We also know that from conventional algebra, we need to make this change throughout the entire equation. Therefore, since we changed the x in f(x), we need to change it in 2x² - 5x - 20 as well.
Now, it's time to simplify this function. Let's first simplify the first term of the function: .
Let's follow PEMDAS in order to simplify the term.
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
When using this acronym, make sure that all operations are performed <u>left to right</u>.
We see that -9 is raised to the power of 2, so we square -9. Otherwise, we carry out the following operation.
Then, we see that 2 is multiplied into this value. Therefore, we multiply 81 by 2.
Now, we need to subtract the product of 5 and -9.
Finally, we subtract 20 from this value.
Therefore, the value of f(-9) is 187.