65.1k views
3 votes
Given that

f
(
x
)
=
x
2
+
7
x
and
g
(
x
)
=
x
+
7
, calculate
(a)
(
f

g
)
(

5
)

1 Answer

5 votes

Answer:

18

Explanation:

We want to find the composite function at a specific value (-5).

Thus, we can write and think of the function like this:

f[g(-5)]

So we substitue the -5 for every x in the g(x) function:

g(x) = -5 + 7 = 2

Then we substitute this 2 for every x in the f(x) function:

f(x) = 2^2+7(2) = 4 + 14 = 18

User SaroGFX
by
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