If f(x) and g(x) are two functions defined by f(x) = �ã(x + 1), g(x) = | x - 1 |, then what is the value of f(g(9))?
well, just plug in the values!
g(9) = |9-1| = 8
f(g(9)) = f(8) = √(8+1) = 3
Man, that's over three years ago!
To find the value of f(g(9)), we need to substitute the value of 9 into the inner function g(x) first, then substitute the result into the outer function f(x).
Let's begin with the inner function g(x) = |x - 1|. We are given the value x = 9, so we substitute 9 into g(x):
g(9) = |9 - 1| = |8| = 8
Now we have the result of g(9), which is 8. We can substitute this into the outer function f(x) = �ã(x + 1):
f(g(9)) = f(8) = �ã(8 + 1) = �ã9
Therefore, the value of f(g(9)) is �ã9.