Find the indicated function value if it exists, given f(x)=2-x and g(x)=sqrt 3-x

(fog)(-2)

Question

Find the indicated function value if it exists, given f(x)=2-x and g(x)=sqrt 3-x

(fog)(-2)

solomonzelman · Answer

$\large\color{slate}{ fog  }$  or  $\large\color{slate}{ f^\circ g  }$  means  $\large\color{slate}{ f(\color{red}{g(x)}) }$

demonchild99 · Answer

2+2 and 3-2 i believe...right?

solomonzelman · Answer

for(-2) would be $\large\color{slate}{ f(\color{red}{g(-2)}) }$

solomonzelman · Answer

first find fog(x), then plug in -2 for x.

solomonzelman · Answer

I mean fog(-2) would be $\large\color{slate}{ f(\color{red}{g(-2)}) }$  
in my 2nd reply, btw.

solomonzelman · Answer

$\large\color{slate}{ f(\color{red}{g(x)}) =2-\color{red}{\sqrt{3-x}}}$  
$\large\color{slate}{ f(\color{red}{g(\color{blue}{-2})}) =2-\color{red}{\sqrt{3-(\color{blue}{-2})}}}$                   find the  $\large\color{slate}{ f(\color{red}{g(\color{blue}{-2})})}$ .