Answer :
The value of the function f[g(x)] will be , f[g(x)] = 2x – 5
We have been given two function f(x) and g(x) where,
f(x) = 2x+1 (1)
and g(x) = x-3 (2)
Here x is variable.
We have to find f[g(x)]. Thus we have to replace variable x with g(x) in equation (1)
Thus putting g(x) in place of x in function f(x), we get
f[g(x)] = 2g(x) + 1 (3)
Now from equation (2), we will equate the value of g(x) in equation (3), we get
f[g(x)] = 2(x-3) + 1
f[g(x)] = 2x – 6 + 1
f[g(x)] = 2x – 5
Hence the required function f[g(x)] will be, f[g(x)] = 2x – 5
Learn more about functions here : https://brainly.com/question/20384115
#SPJ9