 ever scratched your head looking at things like f of x and math and wondered what they're all about wondering how this f of x function notation can be understood simply through a visual and fun approach join me as we explore these questions in today's episode of mr. mark's math adventures hey math learners it's mr. mark's your friendly neighborhood math teacher remember it's not just about getting the right answers it's about learning and growing along the way now before we dive into today's adventure remember to hit that subscribe button and ring that bell to stay tuned for future episodes now if you've been following along you might remember our peek into calculus in episode number three of mr. mark's math adventures for context around today's topic you can check that episode out but no worries today's topic stands alone so to all the curious minds out there especially mario thank you for your honesty mario it's feedback like yours that helps us all grow together so for you and for all your friends out there who have ever been puzzled by this f of x notation this one's for you as we start always feel free to use the companion worksheet it's a great tool to help you follow along with the episode and to reinforce your learning companion worksheet is free to download link down in the description now imagine you're in front of a magical machine you give this machine an input a number and as soon as you do the machine gets to work inside the machine follows a set recipe a specific set of instructions for example let's say this machine takes an input of a number x the machine then multiplies that number by two and then adds three to the number now in math terms this machine's instructions can be written as f of x equals two x plus three so when we feed the number two into our machine it just follows its recipe the machine takes in the number two first multiplies it by two and then it adds three our machine gives us the number seven as our output this process is what the notation f of x is capturing it's a systemic way to describe how we're transforming our input into an output with a given set of instructions telling us exactly what our machine is to do step by step in essence whenever you see f of x it's a journey from input to output following a set of mathematical instructions so now how do you feel about f of x it's a fog lift in a bit it's not just about completely understanding it the first time but about giving it your best and improving along the way hey props to you for taking some time out of your day to do some math with me i hope you follow it along and if you didn't that's all good remember that every mistake is a step towards learning something new and hey mr. mark's math adventures is holding a giveaway click the link in the description below to see all the giveaway details and for your chance to win this is mr. mark signing off i'll catch you next time with another math problem what did you think did you approach this problem differently let me know in the comments and if you enjoyed this problem show your support by liking and sharing this video and don't forget to follow my page to stay up to date on more math related content until next time