For the given functions f and g, find the requested function. f(x) = x - 4; g(x) = 4x^2. Find (f...


For the given functions {eq}f {/eq} and {eq}g {/eq}, find the requested function.

{eq}f(x) = x - 4; g(x) = 4x^2 {/eq}

Find {eq}(f + g)(x) {/eq}.

Adding Two Functions:

The addition of two functions is found by simply adding the definitions of the functions if they have the same independent variables. Suppose {eq}f(x) {/eq} and {eq}g(x) {/eq} are two functions; the addition of two function is expressed as {eq}(f+g)(x). {/eq}

Answer and Explanation: 1

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The given functions are:

  • {eq}f \left(x \right) = x - 4 {/eq}
  • {eq}g \left(x \right) = 4x^2 {/eq}

Find the function:...

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Learn more about this topic:

How to Add, Subtract, Multiply and Divide Functions


Chapter 7 / Lesson 4

Basic mathematical operations such as addition, subtraction, multiplication, and division can be performed on functions. Explore cost, revenue, and profit functions, and learn how to perform the four function operations.

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