Chapter 19, Problem 1IR

To determine

The value of given expression $(f+g)(x)$ .

Answer to Problem 1IR

  $(f+g)(x)=x^2+x-5.$

Explanation of Solution

Given information:

Two functions are given as, $f(x)=x-6$ and $g(x)=x^2+1$ .

Calculation:

Given function are, $f(x)=x-6$ and $g(x)=x^2+1$ .

Using the properties of composite function,

  $\begin{array}{l}(f+g)(x)\\ =f(x)+g(x)\\ =x-6+x^2+1\\ =x^2+x-5\\ \text{Thus, }(f+g)(x)=x^2+x-5.\end{array}$