kaydevil
Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Evaluate when f(-3) and f(7)
f(x) = {3x-1,tfx>4
{2x,tfx<4
_

Evaluate When F3 And F7 Fx 3x1tfxgt4 2xtfxlt4 class=

Sagot :

Answers:

  • f(-3) = -6
  • f(7) = 20

======================================================

Explanation:

The piecewise function f(x) changes based on what the input is.

We have two cases:

  • Case A) if x > 4, then f(x) = 3x-1
  • Case B) If [tex]x \le 4[/tex], then f(x) = 2x

The input x = -3 satisfies the inequality [tex]x \le 4[/tex], so we go with case B for this input

f(x) = 2x

f(-3) = 2(-3)

f(-3) = -6

In contrast, the input x = 7 satisfies the inequality x > 4. So we go for case A this time.

f(x) = 3x-1

f(7) = 3(7)-1

f(7) = 21-1

f(7) = 20

----------------------

Side note: It might be better to let g(x) = 3x-1 and h(x) = 2x. Then we could further say "If x > 4, then f(x) = g(x) OR if [tex]x \le 4[/tex], then f(x) = h(x)". Though this might be a more wordy definition.

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.