Week-12

This week we started learned how to work with function notations. It’s quite easy since all we need to do is to replace the given number into the equation for the function, and each function has a name for it like, g(x) or f(x).

Function notation

Example #1:

For our first example we’re using g(x)= 6-x² for our function, and to evaluate our equation if g(8). So, what we’re doing for this is basically replacing the 8 in the place of the “x” in the function. We would put it in brackets too, so our equation will now look like this: 6-8². For this we will use BEDMAS, so we will square the 8 first which is 64. Now the equation turns into 6-64, so after the subtraction our answer will be negative 58.

Example#2:

For our second example we’ll be using the same function which is, g(x)= 6-x² but this time we will use it to find “x”. The answer of the equation given will be 42, let’s write it out first, 6-x²=42. For this we will first isolate the “x” by subtracting 6 from itself and 42, we now have -x²=36. Now the last step is to just square root 36 which can be 6 or negative 6 either of them is correct. So, our final answer is that x= 6,-6.