The answer to 2 is 14 and the answer to 4 is b
Answer:
19
Step-by-step explanation:
First: Recognize that (f o g)(x) is the "composition" of two functions, where g(x) serves as the input to f(x). We are given f(x) = 2x+3 and g(x) = x+5. You could find g(3) right now: it is g(3) = 3+5 = 8. Use this 8 as the input to f(x): f(8) = 2(8)+3 = 19.
Check the one-sided limits:


If <em>f(x)</em> is to be continuous at <em>x</em> = 5, then these two limits should have the same value, which means
5<em>k</em> = 200
<em>k</em> = 200/5
<em>k</em> = 40
(x-3)=-3x+25
Because we know that y=x-3 so we put that in place of y in the equation
5*23
Note 23 = 20 + 3
5*23 = 5*(20 + 3) and by distributive property
5*23 = 5*20 + 5*3 = 100 + 15 = 115
= 115