Exercise 37 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 f(3) + g(4). This means that we need to find the value of the function f(x) when x=3 and then add it to the value of the function g(x) when x=4.

Value of f(3)

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

When x=3, f(x)= 6.

Value of g(4)

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

When x=4, g(x)= 17.

Addition

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