If f(x)=3x+7 and g(x)=x^2+4, find f(g(-5))

94

Step-by-step explanation:

Given f(g(-5)) means that you take the number, -5, and substitute it into g(x) first. The answer provided from that equation will then be the number to be substituted in f(x).

x^2 + 4

-5^2 + 4

25 + 4 [It's positive because -5 x -5 cancels out to make a positive]

29 = g(x), therefore, this is the new number to be substituted for f(x)

3x + 7

3 (29) + 7

87 + 7 [to get 87, multiply 3 by 29]

94

Therefore, your final answer is 94.

Hope this helps!