If f (x) = x^2+1 and g (x) = 3x+1, find [f (2) - g (1) ]^2

[f (2) - g (1) ]² = 1

Step-by-step explanation:

Using the given functions:

f (x) = x² + 1

g (x) = 3x + 1

We can use the given values of 'x' to solve each function and then the combined function. f (2) means the value of 'x' = 2 and g (1) means the value of x=1:

f (2) = 2² + 1 = 4 + 1 = 5

g (1) = 3 (1) + 1 = 4

[f (2) - g (1) ]² = (5 - 4) ² = 1² = 1