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2 years ago

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:

Step-by-step explanation:

Given:

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

First find g(- 2):

g(- 2) = (-2)² + 4 = 4 + 4 = 8

Find f(8):

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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