Exercise 38 Page 273

We are given two functions. f(x)&=2x g(x)&=x^2+1 We need to evaluate them for certain values of x. In this case, we need to find g(3) + f(4). This means that we need to find the value of the function g(x) when x=3 and then add it to the value of the function f(x) when x=4.

Value of g(3)

Let's start by finding the value of g(3). To do this, substitute 3 for x in the function rule.

When x=3, g(x)= 10.

Value of f(4)

Now, we have to find the value of f(4). To do this substitute 4 for x in the function rule.

When x=4, f(x)= 8.

Addition

Since we have both g(3) and f(4) we can calculate their sum.