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Chapter 14: Q2. (page 574)

If function g:x鈫�8-3x, 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 83 for the function.

Step by step solution

01

Step 1. Given Information.

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

02

Step 2. Calculation.

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

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

g5=8鈭�3脳5=8鈭�15=鈭�7

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

gx=08鈭�3x=0x=83

03

Step 3. Conclusion.

Therefore, the image of 5 is -7 and the pre image of 0 is 83 for the function.

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Most popular questions from this chapter

  1. Plot the three points A0,4, B4,6 and C2,0,and their images A', B', and C' under the transformation T:x,y鈫�x+4,y-2.
  2. State whether the transformation appears to be an isometry.
  3. Find the pre image of 12,6.

Complete the following. Assume points D, C, U, W, X, and Y are obtained by reflection in link k or j.

Rk:A鈫�?炉.

Draw a triangle and a line m such that Rm maps the triangle to itself. What kind of triangle did you use?

Write the coordinates of the image of each point by reflection in,

  1. The x-axis
  2. The y-axis
  3. The line y=x (Hint: Refer to the Example on page 578)

Point C.

In Exercise 18-20, refer to the diagrams on page 578. Given the reflection Rm:PQ鈫�鈫�P'Q'鈫�, write the key steps of a proof that PQ=P'Q'for each case.

Case 2.
See all solutions

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