Question

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

Answer 1

We conclude that:

• f(g(5)) = 132

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