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Chapter 14: Q1. (page 574)

If function f:x鈫�5x-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

01

Step 1. Given Information.

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

02

Step 2. Calculation.

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

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

f8=5脳8鈭�7=40鈭�7=33

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

fy=135y鈭�7=13y=4

03

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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Most popular questions from this chapter

A line with equation y=2x+3 is reflected in the y-axis. Find an equation of the image line.

鈻�XYZis isosceles with XY炉鈮�XZ炉. Describe a way of mapping each point of XY炉 to a point of XZ炉 so that the mapping is an isometry.

Copy each figure on graph paper. Then draw the image by reflection in line k.

In Exercise 18-20, refer to the diagrams om 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 4.
  1. If gx=2x-1, find g8 and g-8.
  2. Find the image of 5.
  3. Find the pre image of 7.
See all solutions

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