Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Need some help.
Suppose that the functions and are defined for all real numbers as x follows.


Need Some Help Suppose That The Functions And Are Defined For All Real Numbers As X Follows class=

Sagot :

Answer:

  • (r+s)(x) = 4x -1
  • (r-s)(x) = 2x +7
  • (r·s)(1) = -18

Step-by-step explanation:

You want the sum, difference, and product of two functions:

  • r(x) = 3x +3
  • s(x) = x -4

Sum

The sum is found by adding the two function definitions:

  (r+s)(x) = r(x) +s(x)

  (r+s)(x) = (3x +3) +(x -4) = (3+1)x +(3 -4)

  (r+s)(x) = 4x -1

Difference

The difference is found by subtracting one function from the other:

  (r-s)(x) = r(x) -s(x)

  (r-s)(x) = (3x +3) -(x -4) = (3-1)x +(3-(-4))

  (r-s)(x) = 2x +7

Product

The product is found by multiplying the function values:

  (r·s)(1) = r(1)·s(1)

  (r·s)(1) = (3·1 +3)·(1 -4) = 6·(-3)

  (r·s)(1) = -18