Question

Given that f(x) =3x+7 and g(x) x2/2 what is the value of f(g(4))

Answer 1

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

Answer 2

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)):