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Mashutka [201]
2 years ago
12

Let f(x)=3x-8 and g(x)=x^2+4. Find f(g(-2)).

Mathematics
2 answers:
9966 [12]2 years ago
8 0

Answer:

  • 16

Step-by-step explanation:

<u>Given:</u>

  • f(x) =3x - 8 and g(x) = x² + 4
  • f(g(- 2)) = ?

<u>First find g(- 2):</u>

  • g(- 2) = (-2)² + 4 = 4 + 4 = 8

<u>Find f(8):</u>

  • f(8) = 3*8 - 8 = 24 - 8 = 16
iris [78.8K]2 years ago
8 0

g(-2):-

\\ \sf\longmapsto (-2)^2+4

\\ \sf\longmapsto 4+4

\\ \sf\longmapsto 8

Now

\\ \sf\longmapsto f(x)=3x-8

\\ \sf\longmapsto f(g(-2))=f(8)

\\ \sf\longmapsto 3(8)-8

\\ \sf\longmapsto 24-8

\\ \sf\longmapsto 16

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