Answer:
Step-by-step explanation:
f(x) = y = 3x/(8 + x) (I am assuming that the 8 + x is the denominator. Please use parentheses in the future if you forgot this. If there are no parentheses, then my solution will not work for you.)
Exchange x and y; that is, replace x by y and y by x simultaneously:
x = 3y/(8 + y).
Then use algebra to solve for y in terms of x:
(8 + y)x = 3y (multiply both sides by the denominator to clear the fraction)
8x + xy = 3y (distribute)
xy − 3y = −8x (rearrange terms with all y's on the left side of the equation)
y(x − 3) = −8x (factor out y as a common factor)
y = −8x/(x − 3) (divide by x − 3)
Finally, replace y by f-1(x):
f-1(x) = −8x/(x − 3).
This is the inverse of f(x). It can be checked by finding f(f-1(x)) and f-1(f(x)), and verifying that both equal x after simplifying.
Answer:
Step-by-step explanation:
Not enough information.
A good clear graph is given. By identifying the x-values for which this graph exists, we can identify the domain. This graph begins at x = -3 and continues forever as x increases. Thus, the domain of this function is [-3, infinity).
Answer:
See below
Step-by-step explanation:
Parent function: the start of a family tree. It states in the problem that f(x) is the parent, but we can easily see that the actual equation for this is c = y + 0^x (we use 0 because of the circular shape of Pi-Guy's head and c for the cape).
Flips downward: We have to flip our equation: c = h + x^0
Flies .7 units right: We have to add 6 to the exponent: c = h + x^6
Flies 8 units down: We have to subtract the equation: c = h+8 + x^6
Answer:
B.(2,1)
Step-by-step explanation:
The line segment AB will translate onto segment AB' by the translation,
(x+2, y+1)
You add 2 to the x value and 1 to the y value of segment AB.
