Which pair of functions is not a pair of inverse fuctions
2 answers:
Answer:
The pair of functions that is not inverse functions are:
Step-by-step explanation:
We know that two functions a and b are said to be inverse of each other if:
f(g(x))=g(f(x))=x
i.e. the compositions of the function gives identity.
and the inverse of the given function is calculated by equation the function to y and then calculating the value of x in terms of y.
and the function in terms of y is the inverse function.
A)
Now if f(x)=y then
B)
i.e.
C)
i.e. we have:
D)
if f(x)=y then
Hence, option: D is the answer.
Answer:
D is the answer,that is the incorrect inverse function.
Step-by-step explanation:
For the first one
g(x)=6x-1
Let y=6x-1
6x=y+1
x=y+1/6
Therefore the inverse equation will be
x+1/6 so,the first equation is right.
The second one
g(x)=19x+4
Let y=19x+4
19x=y-4
x=y-4/19 so,the second function is right.
For the last one
f(x)=x/x+20
y=x/x+20
y(x+20)=x
x+20=x/y
x=x/y-20
g(x)=x/y-20,so the function is wrong and that is the aswer.
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