Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing


  • 3 years ago

If T:P1→P1 is a linear transformation such that T(1+2x)=4−2x and T(3+5x)=−3+3x, then T(−4−2x)=

  • This Question is Open
  1. terenzreignz
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Well, it was tricky on my part, maybe you have a quicker way to do it, but I guess the way to do it is to express (-4-2x) as a linear combination of (1+2x) and (3+5x): -4-2x = 14(1+2x) - 6(3+5x) therefore\ T(-4-2x) = T[ 14(1+2x) - 6(3+5x) ] T is a linear transformation, so it distributes over addition (subtraction) and constants (scalars) may cross the operator: T(-4-2x) = 14 T(1+2x) - 6 T(3+5x) = 14( 4-2x ) - 6( -3+3x ) = 74 - 36x There you go...

  2. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy