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Given that f(x)=x^2+3x+2 and g(x)=x+5, evaluate the following:
Find f(g(5)).

Sagot :

Absor201idn

Answer:

We conclude that:

  • f(g(5)) = 132

Step-by-step explanation:

Given

f(x) = x² + 3x + 2

g(x) = x + 5

To determine

f(g(5)) = ?

In order to determine f(g(5)), first, we need to determine g(5)

substitute x = 5 in g(x) = x + 5

g(x) = x + 5

g(5) = 5 + 5

g(5) = 10

so

f(g(5)) = f(10)

now determine f(10)

substitute x = 10 in f(x) = x² + 3x + 2

f(x) = x² + 3x + 2

f(6) = (10)² + 3(10) + 2

f(6) = 100 + 30 + 2

f(6) = 132

so

f(g(5)) = f(10) = 132

Therefore, we conclude that:

  • f(g(5)) = 132
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