Since g(6)=6, and both functions are continuous, we have:
![\lim_{x \to 6} [3f(x)+f(x)g(x)] = 45\\\\\lim_{x \to 6} [3f(x)+6f(x)] = 45\\\\lim_{x \to 6} [9f(x)] = 45\\\\9\cdot lim_{x \to 6} f(x) = 45\\\\lim_{x \to 6} f(x)=5](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%206%7D%20%5B3f%28x%29%2Bf%28x%29g%28x%29%5D%20%3D%2045%5C%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20%5B3f%28x%29%2B6f%28x%29%5D%20%3D%2045%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20%5B9f%28x%29%5D%20%3D%2045%5C%5C%5C%5C9%5Ccdot%20lim_%7Bx%20%5Cto%206%7D%20f%28x%29%20%3D%2045%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20f%28x%29%3D5)
if a function is continuous at a point c, then
,
that is, in a c ∈ a continuous interval, f(c) and the limit of f as x approaches c are the same.
Thus, since
, f(6) = 5
Answer: 5
Answer:
The roster method is defined as a way to show the elements of a set by listing the elements inside of brackets. An example of the roster method is to write the set of numbers from 1 to 10 as {1,2,3,4,5,6,7,8,9 and 10}. An example of the roster method is to write the seasons as {summer, fall, winter and spring}.Step-by-step explanation:
Answer:
$171
Step-by-step explanation:
=PRN
950×0.06×3
hope this helps and makes sense :))
Explic
Pasos para resolver una ecuación linea
A=J(1+rt)
Usa la propiedad distributiva para multiplicar J por 1+rt.
A=J+Jrt
Intercambie los lados para que todos los términos de las variables estén en el lado izquierdo.
J+Jrt=A
Combina todos los términos que contienen J.
(1+rt)J=A
La ecuación está en formato estándar.
(rt+1)J=A
Divide los dos lados por 1+rt.
rt+1(rt+1)J=rt+1A
Al dividir por 1+rt, se deshace la multiplicación por 1+rt.
J=rt+1A
Answer:
f(x) =
-2
-1
-2
-3
On Edgenuity 2020
Step-by-step explanation:
Got it correct on Edgenuity :)
Or if you would like the longer explanation;
The graph given explained:
On a coordinate plane, a function has four connecting lines. The first line goes from (0, 0) to (2,2), the second line goes from (2, 2) to (3, 1), the third line goes from (3, 1) to (5, 3), and the fourth line is horizontal to the x-axis at 3.
After finding the matching points on the graph using the coordinates on the x axis (on the line), you should get 2, 1, 2, and 3. Then use the odd function which is
f(-x) = -f(x) and insert those numbers in -f(x)
which leads you to the answer above which is
f(x) =
-2
-1
-2
-3
Hopefully this helped !
Sorry I couldn't explain it any better but I did it in a way that I was able to understand how I got my answer ! :)
