EASY 30 POINTS: If f(x)=x^2+7 and g(x)=4/x+2, what is f(g(−3))?

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

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

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