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For which function is f(x) not equal to f-1(x)?

A- f(x)=2-x
B-f(x)=2/x
C=f(x)=-x
D=f(x)=2x

User Barwin
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2 Answers

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D is the answer.
If f(x) or y = 2x, the inverse is x = 2y or y=x/2 which is not f(x).
User Matteo Hertel
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7 votes

Answer:


f(x)= 2x

Explanation:

For which function is f(x) not equal to f^-1(x)

LEts check with each function, we find out inverse for each option


f(x)= 2-x

Replace f(x) by y, then switch the variables and solve for y


y= 2-x


x= 2-y, Add y on both sides


x+y= 2, Subtract x from both sides


y= 2-x, Inverse is equal to f(x)


-f(x)= (2)/(x)

Replace f(x) by y, then switch the variables and solve for y


-y= (2)/(x)


-x= (2)/(y), cross multiply it


-xy = 2, divide by x on both sides


-y= (2)/(x), Inverse is equal to f(x)


f(x)= -x

Replace f(x) by y, then switch the variables and solve for y


y= -x


x=-y, Add y on both sides


x+y= 0, Subtract x from both sides


y=-x, Inverse is equal to f(x)


f(x)= 2x

Replace f(x) by y, then switch the variables and solve for y


y= 2x


x= 2y, divide by 2 on both sides


(x)/(2)=y, Inverse is not equal to f(x)

User Joe Savona
by
8.2k points

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