can someone please check my answer
For each problem, construct two composite functions, . Evaluate each composite function for x=2
f(x)=3x g(x)=1/x
f(g)*(x)=3x(1)/x
x=2
3x(1)/x=6
g(f)*(x)=(3x)=2*3x=6
x=2
3*(2)=6*6=36
To check your answer for the composite functions, we can go through the steps you provided.
First, let's consider the function f(g)*(x) = 3x(1)/x. To evaluate this composite function for x = 2, substitute x = 2 into the function:
f(g)*(x) = 3x(1)/x
= 3 * 2(1)/2
= 3 * 2/2
= 6/2
= 3
So, f(g)*(2) = 3.
Now, let's consider the function g(f)*(x) = 2 * 3x = 6x. To evaluate this composite function for x = 2, substitute x = 2 into the function:
g(f)*(x) = 2 * 3x
= 2 * 3 * 2
= 6 * 2
= 12
So, g(f)*(2) = 12.
Comparing your answers to the correct evaluations:
- f(g)*(2) = 3 (your answer: 6)
- g(f)*(2) = 12 (your answer: 36)
It seems like you made an error in calculating the composite functions. Make sure to carefully follow the order of operations and double-check your calculations.