Answer:
f(g(−3)) =23
Step-by-step explanation:
f(x)=x^2+7
g(x)=4/(x+2)
f(g(−3))
First find g(-3)
g(-3) = 4/(-3+2) = 4/-1 = -4
Substitute -4 as the input to f(x)
f(-4) = (-4)^2 +7
= 16+7 =23
Answer:
23
Step-by-step explanation:
Unclear whether your "g(x)=4/x+2" means 4/x + 7 or
4/(x + 2). Please, use parentheses to indicate groupings like these.
If you meant g(x) = 4 / (x + 2), then g(-3) = 4 / (-3 + 2), or g(-3) = -4.
f(x) = x^2 + 7 is clear and understandable. If we replace x with g(-3), obtaining -4 as shown above, then we have:
f(g(-3)) = (-4)^2 + 7 = 16 + 7 = 23