f as a function of x is equal to the square root of quantity x plus two; g(x) = 8x - 6
Find f(g(x)).
To find f(g(x)), we need to substitute the expression for g(x) into the function f(x).
Given: f(x) = √(x + 2)
g(x) = 8x - 6
Substituting g(x) into f(x), we have:
f(g(x)) = √(g(x) + 2)
= √((8x - 6) + 2)
= √(8x - 4)
= sqrt(8x - 4)
Therefore, f(g(x)) = √(8x - 4).
To find f(g(x)), we need to substitute g(x) into the function f(x).
First, let's find g(x) using the given function g(x) = 8x - 6:
g(x) = 8x - 6
Now, we substitute g(x) into f(x):
f(g(x)) = √(g(x) + 2)
Substitute the expression for g(x) into f(g(x)):
f(g(x)) = √((8x - 6) + 2)
Simplify the expression inside the square root:
f(g(x)) = √(8x - 4)
So, f(g(x)) is equal to the square root of (8x - 4).