College

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Given the function below, determine the following:

[tex]\[ f(x) = 11x - 9 \][/tex]

1. Find [tex]\( f(5) \)[/tex].
[tex]\( f(5) = \)[/tex]

2. Find [tex]\( f(-8) \)[/tex].

3. Find [tex]\( x \)[/tex] if [tex]\( f(x) = 57 \)[/tex].

Answer :

Sure! Let's go step by step to solve each part of the problem using the function [tex]\( f(x) = 11x - 9 \)[/tex].

1. Find [tex]\( f(5) \)[/tex]:
- To find [tex]\( f(5) \)[/tex], substitute [tex]\( x = 5 \)[/tex] into the function.
- Calculate: [tex]\( f(5) = 11 \times 5 - 9 \)[/tex].
- Simplifying: [tex]\( f(5) = 55 - 9 = 46 \)[/tex].
- So, [tex]\( f(5) = 46 \)[/tex].

2. Find [tex]\( f(-8) \)[/tex]:
- To find [tex]\( f(-8) \)[/tex], substitute [tex]\( x = -8 \)[/tex] into the function.
- Calculate: [tex]\( f(-8) = 11 \times (-8) - 9 \)[/tex].
- Simplifying: [tex]\( f(-8) = -88 - 9 = -97 \)[/tex].
- So, [tex]\( f(-8) = -97 \)[/tex].

3. Find [tex]\( x \)[/tex] if [tex]\( f(x) = 57 \)[/tex]:
- Set the function equal to 57: [tex]\( 11x - 9 = 57 \)[/tex].
- First, add 9 to both sides to isolate the term with [tex]\( x \)[/tex]: [tex]\( 11x = 57 + 9 \)[/tex].
- Simplify the equation: [tex]\( 11x = 66 \)[/tex].
- Divide both sides by 11 to solve for [tex]\( x \)[/tex]: [tex]\( x = \frac{66}{11} = 6 \)[/tex].
- So, [tex]\( x = 6 \)[/tex] when [tex]\( f(x) = 57 \)[/tex].

I hope this step-by-step solution helps you understand the process! Let me know if you have any more questions.