Question

Find f(g(-4)) if f(x)=7/(x+2) and g(x)= (x+5)^2
-5/2
-7/2
37/4
7/3

Answer 1

\[\large\rm \color{royalblue}{f(x)=\frac{7}{x+2}},\qquad\qquad \color{orangered}{g(x)=(x+5)^2}\]

Answer 2

\[\large\rm \color{orangered}{g(-4)=(-4+5)^2}\]\[\large\rm \color{orangered}{g(-4)=?}\]

Answer 3

1?

Answer 4

\[\large\rm \color{orangered}{g(-4)=1}\]Ok good.
So then:\[\large\rm \color{royalblue}{f(}\color{orangered}{g(-4)}\color{royalblue}{)}\quad=\quad \color{royalblue}{f(}\color{orangered}{1}\color{royalblue}{)}\]

Answer 5

So the problem boils down to\[\large\rm \color{royalblue}{f(1)=?}\]simply plugging 1 into your f(x) function.

Answer 6

oh i get it thank u !!

Answer 7

7/3

Answer 8

yay good job \c:/