491,494 views
38 votes
38 votes
Given that f(x) =3x+7 and g(x) x2/2 what is the value of f(g(4))

User Jon Wei
by
3.4k points

2 Answers

8 votes
8 votes

Answer:

f(g(4) ) = 31

Explanation:

evaluate g(4) then substitute the value obtained into f(x)

g(4) =
(4^2)/(2) =
(16)/(2) = 8 , then

f(8) = 3(8) + 7 = 24 + 7 = 31

User Cristian Buse
by
2.8k points
19 votes
19 votes

Given the following functions:


\begin{gathered} f(x)=3x+7 \\ g(x)=(x^2)/(2) \end{gathered}

to find f(g(4)), we can start by finding g(4) first:


\begin{gathered} x=4 \\ \Rightarrow g(4)=((4)^2)/(2)=(16)/(2)=8 \\ g(4)=8 \end{gathered}

now that we know that g(4) = 8, we can calculate the composition f(g(4)):


undefined

User Zuriar
by
3.1k points
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