Step-by-step answer:
The domain of log functions (any legitimate base) requires that the argument evaluates to a positive real number.
For example, the domain of log(4x) will remain positive when x>0.
The domain of log_4(x+3) requires that x+3 >0, i.e. x>-3.
Finally, the domain of log_2(x-3) is such that x-3>0, or x>3.
Answer:
(3x+2)^2+1
Step-by-step explanation:
(f°g)(x) =g(f(x)) =g(3x+2)=(3x+2)^2 +1
Answer:
Y=-4x
Step-by-step explanation:
We know the slope is negative since the line decreases from left to right. Starting at 0,0 we go down 4 and to the right 1 to get to the next point. Therefore the slope is the change in y over the change in x or -4/1= -4. The y intercept is 0 since it crosses the y axis at 0,0. The equation of the line in slope intercept form is y= mx+b or y= -4x
