Answer:
The value of g[f(2)] = 13
Step-by-step explanation:
Given functions:
f(x) = x²
g(x) = 3x + 1
Find:
The value of g[f(2)]
Computation:
f(x) = x²
By putting x = 2 in f(x)
f(x) = x²
f(2) = 2²
f(2) = 2 × 2
f(2) = 4
So the value of f(2) = 4
Value of f(2) putting in g(x)
g(x) = 3x + 1
g(x) = 3x + 1
g[f(2)] = 3[f(2)] + 1
We know that f(2) = 4
So,
g[f(2)] = 3[f(2)] + 1
g[f(2)] = 3[4] + 1
g[f(2)] = 12 + 1
g[f(2)] = 13
The value of g[f(2)] = 13
