Answer:
f(g(x)) = 3x + 4
Step-by-step explanation:
to find f(g(x)) substitute x = g(x) into f(x)
f(g(x))
= f(x - 2)
= 3(x - 2) + 10
= 3x - 6 + 10
= 3x + 4
Answer:
[tex]f\left[g(x)\right]=3x + 4[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=3x+10\\g(x)=x-2\end{cases}[/tex]
Function composition is an operation that takes two functions and produces a third function.
The given composite function f[g(x)] means to substitute the function g(x) in place of the x in function f(x):
[tex]\begin{aligned}f\left[g(x)\right] & = f(x-2)\\& = 3(x-2)+10\\& = 3x-6+10\\& = 3x+4\end{aligned}[/tex]
Learn more about composite functions here:
https://brainly.com/question/28010848
https://brainly.com/question/24538829
