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kotykmax [81]
2 years ago
15

Using ƒ(x) = 2x + 7 and g(x) = x − 3, find ƒ(g(-2)).

Mathematics
1 answer:
Eva8 [605]2 years ago
4 0

Answer:

We conclude that:

f(g(-2)) = -3

Step-by-step explanation:

Given

  • f(x) = 2x + 7
  • g(x) = x-3

To determine

  • f(g(-2)) = ?

In order to determine f(g(-2)), first we need to determine g(-2)

so substituting x = -2 in g(x) = x-3

g(-2) = -2 - 3

        = -5

Thus,

f(g(-2)) = f(-5)

now substitute x = -5 in the function f(x) = 2x+7

f(x) = 2x+7

f(-5) = 2(-5) + 7

f(-5) = -10 + 7

f(-5) = -3

so

f(g(-2)) = f(-5) = -3

Therefore, we conclude that:

f(g(-2)) = -3

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