Answer:
a) and d) are bijections. b) and c) are not
Step-by-step explanation:
a) Every linear non constant function is a bijection. We can easily find the inverse of f by making a simple calculus.
If y is on the function image, we have y = -3x + 4 for certain x, then
y- 4 = -3x
-(y-4)/3 = x
therefore
b) -3 * X² + 4 is not a bijection because quadratic funtions arent bijective. If you evaluate in opposite values you will obtain the same result. For example f(-1) = f(1) = 6
c) (x+1)/(x+2) is not a bijection. It isnt even defined in -2 because the denominator is equal to 0 if X= -2 and we cant divide by 0. A bijective function from R to R must be defined in every element of R. In general, homographic non linear functions are not bijective for the same reason this function is not.
d) is bijective. There isnt a simple argument we can use to conclude this. We have no other choice than trying to find the inverse function by making a calculus.
Y =
Y-1 =
Not that since 5 is odd, we can calculate independently of which value Y-1 takes. Therefore , and we can conclude that f is bijective.
I hope this helps you!
Answer:
60 is 5$ of 1200
Step-by-step explanation:
Find the value of the ratio 60/1200 and then multiply the result by 100%:
(1/20)(100%) = 5%
Answer:
127%
Step-by-step explanation:
Will's height is ...
Will's height = (Wanda's height) + 27% × (Wanda's height)
= (Wanda's height) × (100% + 27%)
= (Wanda's height) × 127%
Will's height is 127% of Wanda's height.
_____
Of course, you know that 1 = 100/100 = 100%.
(The % sign is just shorthand for /100.)
Answer:
-2m would be the answer
Step-by-step explanation: