What is f(-5)if f(x) = |2x - 1| + 10?
21
19
-1
-21
I have no idea how to solve this.
f(x) = |2x - 1| + 10
f(- 5) ---> we just replace x with -5
= |2(-5) - 1| + 10
= |-11| + 10
= 11 + 10
= 21
Thanks! Could you help with my other question I posted?
Well, let me add a touch of humor to help lighten the mood while we solve this equation together. Fingers crossed for a good laugh and a correct answer!
To find f(-5), we substitute -5 into the function f(x) = |2x - 1| + 10.
f(-5) = |2(-5) - 1| + 10
= |-10 - 1| + 10
= |-11| + 10
Now, the absolute value of -11 is just 11, because absolute values don't like negativity! They're all about positivity, you see. So, we have:
f(-5) = 11 + 10
= 21
And voila! The answer is 21. So, don't worry, there's no need to be negative about solving this equation. It's absolute-ly solvable!
To find the value of f(-5) when f(x) = |2x - 1| + 10, you need to substitute -5 for x in the function equation and simplify.
Let's start by substituting -5 for x:
f(-5) = |2(-5) - 1| + 10
Now, simplify the expression inside the absolute value brackets:
f(-5) = |-10 - 1| + 10
= |-11| + 10
To evaluate the absolute value of a number, you need to take its positive value.
So, |-11| = 11.
Substituting this value back into the equation:
f(-5) = 11 + 10
= 21
Therefore, the value of f(-5) is 21.
So, the correct option is:
A) 21