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SAT Instructor Dan M. shows you a how to solve function math questions on the new SAT.

A lot of students, when they see function notation f(x), g(x), or something like that on the SAT, tend to freak out and skip over the question. We’re going to show you today why you shouldn’t skip those questions because, ultimately, they’re pretty easy once you get past the notation. We’re to teach you how to understand all that

Let’s get to our question

A function f satisfies f(2) = 3 and f(3) = 5 and a function g satisfies g(3) = 2 and g(5) = 6. What is f(g(3))?

A 2
B 3
C 5
D 6

Let’s just start with our middle piece here, what’s inside here, g(3) now. We know without even doing any math from our problem that g(3) = 2, so we can substitute a 2 for g(3), and that makes what we’re looking for.

Now the equation becomes f(2) = ?

We know that f(2) is equal to 3 right there, so circle 3 and you’re done.

The problem is very simple; as you can see, there is really no math involved.

So whenever you see functions on the SAT, don’t freak out. Remember, it’s probably even easier than it looks, and a lot of times, you don’t even have to do any math.

What was your biggest takeaway from this SAT math tutorial? Do you have any SAT math questions for Dan and Alexis Avila?

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