Use these functions: f(x)=3x-2
g(x)=2
h(x)=4x
1. What is f(g(x))?
2. What is g(18)?
3. Find h(5).
1. you are plugging in g(x) in place of x for f(x). So you get 3(2)-2.
2. no matter what number you put in for x for g(x), you will get 2.
3. same logic. plug in 5 in place of x, so you get h(5) = 4(5)
So the answer for #1 is 4 the answer for #2 is 2 and the answer for #3 is 20?Are you sure because I have a lot riding on this assignment.
To find the values of f(g(x)), g(18), and h(5), we substitute the given values of x into the respective functions.
1. To find f(g(x)), we need to find g(x) first and then substitute it into f(x):
g(x) = 2 (Given)
f(g(x)) = f(2) (Substitute g(x) = 2 into f(x))
= 3(2) - 2 (Substitute x = 2 into f(x))
= 6 - 2
= 4
Therefore, f(g(x)) = 4.
2. To find g(18), we substitute the value of x = 18 into g(x):
g(x) = 2 (Given)
g(18) = 2 (Substitute x = 18 into g(x))
Therefore, g(18) = 2.
3. To find h(5), we substitute the value of x = 5 into h(x):
h(x) = 4x (Given)
h(5) = 4(5) (Substitute x = 5 into h(x))
= 20
Therefore, h(5) = 20.