Chapter 14: Q1. (page 574)

If function $f : x \to 5 x - 7$ , find the image of 8 and the pre image of 13.

Short Answer

Expert verified

The image of 8 is 33 and the pre image of 13 is 4 for the function.

Step by step solution

Step 1. Given Information.

The given function is $f : x = 5 x - 7$ .

Step 2. Calculation.

Consider the given function $f : x = 5 x - 7$ . It can be also written as $f (x) = 5 x - 7$ .

To calculate the image, substitute 8 for $x$ in the function.

$\begin{matrix} f (8) = 5 \times 8 - 7 \\ = 40 - 7 \\ = 33 \end{matrix}$

To calculate the pre image, equate the function with the given value.

$\begin{matrix} f (y) = 13 \\ 5 y - 7 = 13 \\ y = 4 \end{matrix}$

Step 3. Conclusion.

Therefore, the image of 8 is 33 and the pre image of 13 is 4 for the function.

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If function $f : x \to 5 x - 7$ , find the image of 8 and the pre image of 13.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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If function f:x→5x-7, find the image of 8 and the pre image of 13.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Geometry

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Probability and Statistics

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

If function $f : x \to 5 x - 7$ , find the image of 8 and the pre image of 13.