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ScuddyG7164
26.07.2019 •
Mathematics
Which two functions are inverses of each other? a. f(x) = x, g(x) = –x b. f(x) = 2x, g(x) = -1/2x c. f(x) = 4x, g(x) = 1/4x d. f(x) = –8x, g(x) = 8x
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Ответ:
The correct option is C)![f(x)=4x \ \text{and} \ g(x)=\frac{x}{4}](/tpl/images/0133/7651/54826.png)
Step-by-step explanation:
We need to find out the pair of functions which are inverse of each other
A)![f(x)=x \ \text{and} \ g(x)=-x](/tpl/images/0133/7651/3aa57.png)
Since,![(fog)(x)=f(g(x))=-x](/tpl/images/0133/7651/b36b8.png)
and
So, these are not inverse of each others
B)![f(x)=2x \ \text{and} \ g(x)=\frac{-x}{2}](/tpl/images/0133/7651/45c30.png)
Since,![(fog)(x)=f(g(x))=2(\frac{-x}{2})=-x](/tpl/images/0133/7651/cf7a9.png)
and
So, these are not inverse of each others
C)![f(x)=4x \ \text{and} \ g(x)=\frac{x}{4}](/tpl/images/0133/7651/54826.png)
Since,![(fog)(x)=f(g(x))=4(\frac{x}{4})=x](/tpl/images/0133/7651/8bf31.png)
and
So, these are inverse of each others
D)![f(x)=-8x \ \text{and} \ g(x)=8x](/tpl/images/0133/7651/8a432.png)
Since,![(fog)(x)=f(g(x))=-8(8x)=-64x](/tpl/images/0133/7651/9f4f0.png)
and
So, these are not inverse of each others
Therefore the correct option is C)![f(x)=4x \ \text{and} \ g(x)=\frac{x}{4}](/tpl/images/0133/7651/54826.png)
Ответ:
12 ounces
Step-by-step explanation:
3