Chapter 14: Q2. (page 574)

If function $g : x \to 8 - 3 x$ , find the image of 5 and the pre image of 0.

Short Answer

Expert verified

The image of 5 is $- 7$ and the pre image of 0 is $\frac{8}{3}$ for the function.

Step by step solution

Step 1. Given Information.

Consider the given function is $g : x = 8 - 3 x$ .

Step 2. Calculation.

Consider the given function $g : x = 8 - 3 x$ . It can be also written as $g (x) = 8 - 3 x$ .

To calculate the image of 5, substitute 5 for $x$ in the function.

$\begin{matrix} g (5) = 8 - (3 \times 5) \\ = 8 - 15 \\ = - 7 \end{matrix}$

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

$\begin{matrix} g (x) = 0 \\ 8 - 3 x = 0 \\ x = \frac{8}{3} \end{matrix}$

Step 3. Conclusion.

Therefore, the image of 5 is $- 7$ and the pre image of 0 is $\frac{8}{3}$ for the function.

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If function $g : x \to 8 - 3 x$ , find the image of 5 and the pre image of 0.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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If function g:x→8-3x, find the image of 5 and the pre image of 0.

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

Probability and Statistics

Logic and Functions

Pure Maths

Applied Mathematics

Geometry

Calculus

Study anywhere. Anytime. Across all devices.

If function $g : x \to 8 - 3 x$ , find the image of 5 and the pre image of 0.