Answer:
(4,-1)
Step-by-step explanation:
Answer:
A 3 x 4 x 8 inch triangle
Step-by-step explanation:
duh
A <em>scale factor </em>essentially takes all of the lengths on an object and multiplies them by itself.
For instance, a square with side lengths of 4 scaled by a factor of 2 would have scaled side lengths of 4 x 2 = 8, and that same square scaled by a factor of 1/2 would have side lengths 4 x 1/2 = 2. Scaling something by a factor of 1 keeps it exactly the same, since any number multiplied by 1 is unchanged - this means that 1 is basically the "pivot number" for scaling.
Any scale factor <em>greater </em>than one will scale an object <em>up </em>to larger dimensions, while any scale factor <em>less </em>than one will scale an object <em>down </em>to smaller dimensions.
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.
