Answer:
The correct option is 2. The value of f[g(5)] is 70.
Step-by-step explanation:
The given functions are
\(f(x)=3x-2\)
\(g(x)=x^2-1\)
We need to find the value of f[g(5)].
First of all find the value of g(5). Substitute x=5 in the function g(x).
\(g(5)=5^2-1\)
\(g(5)=25-1\)
\(g(5)=24\)
The value of g(5) is 24.
\(f[g(5)]=f(24)\) ..... (1)
Substitute x=24 in the function f(x).
\(f(24)=3(24)-2\)
\(f(24)=72-2\)
\(f(24)=70\) .....(2)
Using (1) and (2) we get
\(f[g(5)]=70\)
The value of f[g(5)] is 70. Therefore the correct option is 2.
