Let g the inverse function of f.
The most important property of g and f being inverses of each other, is that
g(f(x))=x, also f(g(x))=x
so, what one function 'does' to x, the other 'undoes' it.
Thus, we have:
f(g(x))=x and alos f(g(x))= -g(x)+3, from the rule
thus :
-g(x)+3=x
-g(x)=x-3
g(x)=-x+3
check: f(g(x))=f(-x+3)=-(-x+3)+3=x-3+3=x
Answer: the inverse of f is g, such that g(x)=-x+3
10 times 'x' is 10 times whatever the value of 'x' is. I hope that makes sense.
Answer:
1/2
Step-by-step explanation:
1) the sample space is 1 through 6
2) numbers less than 4 on the number cube 1, 2, and 3 3#s
total amount of #s is 6
probability = numbers less than 4/total amount of #s:
3/6
1/2
Answer:
The slope of the line is 1.
Step-by-step explanation:
We are given two coordinate points:
We can use the rate of change formula to find the slope of the points.
In mathematics, coordinate pairs are labeled as:

Therefore, we can relabel our points:
After we do this, we can expand the rate of change formula:

Now, we can use simple substitution to solve for m, or the slope.

Therefore, the slope of the line is 1.
Answer: Josh sold 11 book shows and Jessica sold 198 books.
Look at the attachment for the work.