Let g left-parenthesis x right-parenthesis equals 3 x plus 2 and f left-parenthesis x right-parenthesis equals StartFraction x minus 2 over 3 EndFraction. Find the value.
f left-parenthesis g left-parenthesis 0 right-parenthesis right-parenthesis
(1 point)
Responses
0
0 - no response given
negative two thirds
- image with description: negative two thirds - - no response given
1
1 - no response given
negative 1
To find the value of f(g(0)), we need to substitute 0 into the g(x) function and then substitute the result into the f(x) function.
First, let's find g(0):
g(x) = 3x + 2
g(0) = 3(0) + 2
g(0) = 0 + 2
g(0) = 2
Now, let's substitute this into the f(x) function:
f(x) = (x - 2)/3
f(g(0)) = f(2)
f(g(0)) = (2 - 2)/3
f(g(0)) = 0/3
f(g(0)) = 0
Therefore, the value of f(g(0)) is 0.