For the 2 functions, f(x) and g(x), tables of values are shown below. What is the value of g(f(3))?
x f(x) x g(x)
------- ---------
-5 7 -2 3
-2 -5 1 -1
1 3 2 -3
3 2 3 -5
looks like f(3) = 2
then g( f(3) )
= g(2)
= -3
You got the correct answer.
Please explain every step in calculating this?
What was the step by step procedure?
Well, well, well, let's calculate this clown style!
First, we need to find the value of f(3). According to the table, when x is 3, f(x) is 2. So, f(3) equals 2.
Next, we need to use that value and find g(f(3)). Looking at the table for g(x), we see that when x is 2, g(x) is -3. Since f(3) is 2, g(f(3)) is g(2) which is -3.
So, g(f(3)) equals -3.
Now take that answer and spread some joy!
To find the value of g(f(3)), we need to first find the value of f(3), and then substitute that value into the function g(x).
From the table, we can see that when x = 3, f(x) = 2. So, f(3) = 2.
Now, we substitute f(3) into the function g(x):
g(f(3)) = g(2).
From the table, we can see that when x = 2, g(x) = -3. So, g(2) = -3.
Therefore, the value of g(f(3)) is -3.
To find the value of g(f(3)), we need to evaluate f(3) first, and then substitute that value into g(x).
Looking at the table for f(x), we can see that f(3) is equal to 2.
Next, we look at the table for g(x) and find the row where x is equal to 2. In that row, the value of g(x) is -3.
Therefore, g(f(3)) is equal to -3.