Question

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

Answer 1

43

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