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
Let x be the capacity of the tank then
3x/4-x/8 =15,
then x=24, so so far it has 3/4 *24 =18 so you need 6 gallons to fill it up
The answer is B because if you have 10000 hours you subtract by 3000 and it’s equals b
A is the answer............ If you plot it on a graph, it shows a square.
According to the table shown, the function that best represents g (x) is the function g (x) = 2x. This can be shown with the values of the table because if x = -1 then g (-1) = - 2. If x = 0 then g (0) = 0. And if x = 1 then g (1) = 2.
While for f (x) we have:
x f (x)-1 -80 01 8
Then f (x) = 4g (x)
