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Given f(x)=−2x+4−−−−−−−√, what is the relationship between f(x) and f−1(x)?

Drag and drop an inequality into each box to correctly complete each statement. help please


Given Fx2x4 What Is The Relationship Between Fx And F1x Drag And Drop An Inequality Into Each Box To Correctly Complete Each Statement Help Please class=

Sagot :

The domain of the function exists for when x ≤ 2 while the range exists for the value of y >0

For f⁻¹(x), the domain and the range exists on all real values

 

Given the expression

f(x)=√−2x+4

Get the inverse of the function f⁻¹(x)

ley u = f(x)

y = √−2x+4

Replace x as y

x = √−2y+4

Make y the subject of the formula

x² = -2y + 4

-2y = x²-4

y = (x²-4)/-2

Hence f⁻¹(x)=  (x²-4)/-2

For f(x), the domain of the function exists for when x ≤ 2 while the range exists for the value of y >0

For f⁻¹(x), the domain and the range exists on all real values

 

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