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:
Step-by-step explanation:
1) The Point-slope form equation is given in this form:
2)Looking at the given graph, we can pick two points: (-5,-4) and (0,-3)
3) Before using the Point-slope form We have to find out the slope:
4)Parallel lines share the same slope. The one that passes through (-2,2) is found by calculating its linear parameter "b":
Then, the answer is:
Answer:
2 x 4 =8
Step-by-step explanation:
Answer:
The first one and the last one
Step-by-step explanation:
To sub x>0 and x<0 into every functions.
Then, u will get some function that y doesn't have a negative value or positive value.
Then, these function doesn't fulfill the range.
Then, u will get the answer.
9514 1404 393
Answer:
8
Step-by-step explanation:
Your familiarity with multiplication tables tells you ...
64 = 8·8 = 8²
The missing base is 8.
