If f (x) = x 2 + 1 and g (x) = 3x + 1, find 2f (1) + 3g (4).

43

Step-by-step explanation:

We are given two functions: f (x) = x^2 + 1 and g (x) = 3x + 1.

To find 2f (1), firstly find f (1) by substituting 1 in place of x and then multiply the result by 2 to get:

f (1) = (1) ^2 + 1 = 1 + 1 = 2

2f (1) = 2 (2) = 4

To find 3g (4), find g (4) and then multiply the result by 3 to get:

g (4) = 3 (4) + 1 = 12 + 1 = 13

3g (4) = 3 (13) = 39

Now add the values for 2f (1) and 3g (4):

2f (1) + 3g (4) = 4 + 39 = 43