Answer:
[tex]2c^2-7[/tex]
Step-by-step explanation:
In this case, we have to first find g(c) and then take f of the answer to that. Let's start with g(c):
[tex]g(x)=5-x^2\\g(c)=5-c^2[/tex]
Now, let's take f of g(c):
[tex]f(x)=-2x+3\\f(g(c))=f(5-c^2)=-2(5-c^2)+3=-10+2c^2+3=2c^2-7[/tex]
Therefore, our answer is [tex]2c^2-7[/tex]
