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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 :

sqdancefan

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

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