Question

If f(x)=5+3x and g(x)=5-9x, how does f(g(2)) = -34?

Answer 1

f(x) = 5+3x

g(x) = 5-9x

Required to prove ....f(g(2) = -34

g(2) = 5 - 9(2) = 5 - 18 = -13

f(g(2)) = 5 + 3(-13) = 5 - 39 = -34 .hence proved

Answer 2

$\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate!!!!}}}$
f(x) = 5 + 3x
g(x) = 5 - 9x

we have to prove that f(g(2)) = -34
First we calculate
g(2) =5 - 9(2)
= 5 -18
= - 13
Now we put this value in f(g(2)) I.e.
= f(g(2))
= f(-13)
$= 5 + 3( - 13) \\ = 5 - 39 \\ = - 34 \\ hence \: proved$
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