Chapter 8: Q50. (page 416)

Determine whether the functions $f (x) = x - 2$ and $f (x) = x - 2$ are inverse functions. (Lesson 7-8)

Short Answer

Expert verified

$f (x) = x - 2$ and $g (x) = 2 x$ are not inverse functions.

Step by step solution

Step 1. Given

The given functions are $f (x) = x - 2$ and $g (x) = 2 x$ .

Step 2.To determine

We have to find whether the functions $\ [f (x) = x - 2 \] a n d \ [g (x) = 2 x \]$ are inverse

functions.

Step 3.Calculation

For inverse functions we must have: $f (g (x)) = x$ and $g (f (x)) = x$ .

$\begin{array}{l} f (g (x)) \\ = f (2 x) \\ = 2 x - 2 \neq x \end{array}$

It means $f (x) = x - 2$ and $g (x) = 2 x$ are not inverse functions.

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Determine whether the functions $f (x) = x - 2$ and $f (x) = x - 2$ are inverse functions. (Lesson 7-8)

Short Answer

Step by step solution

Step 1. Given

Step 2.To determine

Step 3.Calculation

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Determine whether the functions f(x)=x-2andf(x)=x-2 are inverse functions. (Lesson 7-8)

Short Answer

Step by step solution

Step 1. Given

Step 2.To determine

Step 3.Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

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Study anywhere. Anytime. Across all devices.

Determine whether the functions $f (x) = x - 2$ and $f (x) = x - 2$ are inverse functions. (Lesson 7-8)