No, not at all. To evaluate f(g(3)) you need to evaluate g(3), and then use that number in f.tecrekka said:I'm just not seeing what you are saying for some reason, if (x)=3 don't I substitute every (x) with 3?
I would say "yes, you do", but that [itex]fog(x)= f(g(x))[/itex] only has one x!tecrekka said:I'm just not seeing what you are saying for some reason, if (x)=3 don't I substitute every (x) with 3?
(f of g)(3) is a mathematical notation that represents the composition of two functions, f and g, where g is evaluated at a specific value, 3, and the result is then used as the input for the function f.
To calculate (f of g)(3), you first need to find the value of g(3) by plugging in 3 as the input for the function g. Then, take the result of g(3) and use it as the input for the function f. The final output of f will be the solution for (f of g)(3).
(f of g)(3) represents the output of the composite function f(g(x)) at the specific value of x = 3. It is a way to combine two functions and evaluate them at a specific point.
Yes, (f of g)(3) and f(g(3)) are equivalent notations for the same concept. Both represent the composition of the functions f and g evaluated at the specific value of 3.
Yes, the functions f and g must be compatible, meaning that the output of g must be a valid input for the function f. It is also important to consider the domain and range of each function to ensure that the composite function is well-defined.