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meriva
3 years ago
10

Given f(x)=2x + 5 and g(x)=x^2 - 3 f(3)= g(2)= g(f(-1))= f(g(-1))= g(f(x))=

Mathematics
1 answer:
Igoryamba3 years ago
4 0

Answer:

See below

Step-by-step explanation:

<u>Given</u>

  • f(x)=2x + 5 and
  • g(x)=x^2 - 3

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

<u>f(3)</u>

  • f(3)=  2*3 + 5 = 11

<u>g(2)</u>

  • g(2)=  2^2 - 3 = 1

<u>g(f(-1))=  6</u>

  • f(-1) = -2 + 5 = 3
  • g(3) = 3^2 - 3 = 6

<u>f(g(-1))=  1</u>

  • g(-1) = (-1)^2 - 3 = -2
  • f(-2) = -2*2 + 5 = 1

<u>g(f(x))</u>

  • g(f(x))= (2x +5)^2 - 3 = 4x^2 + 20x + 25 - 3 = 4x^2 + 20x + 22
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