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Use composition to determine whether the pair of functions are inverses. Click all that are true. f(x) = (x-4)² + 5 for x ≥ 4 and g(x)=√x-5 +4. Of(g(x)) = ((√x-5+4)-4)² + 5x □g (f(x)) = √√((x − 4)² + 5) – - No, they are not inverses Yes, they are inverses - 5+4=x □ g (ƒ (x)) = √√((x − 4)² + 5) − 5 + 4 ‡ z Of(g(x)) = ((√x −5+4) - 4)² + 5 = x 1 2 3 4 5

Use composition to determine whether the pair of functions are inverses. Click all that are true. f(x) = (x-4)² + 5 for x ≥ 4 and g(x)=√x-5 +4. Of(g(x)) = ((√x-5+4)-4)² + 5x □g (f(x)) = √√((x − 4)² + 5) – - No, they are not inverses Yes, they are inverses - 5+4=x □ g (ƒ (x)) = √√((x − 4)² + 5) − 5 + 4 ‡ z Of(g(x)) = ((√x −5+4) - 4)² + 5 = x 1 2 3 4 5

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.CR: Chapter Review
Problem 89E
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Pre Calculus-Inverse Functions
Use composition to determine whether the pair of functions are inverses. Click all that are true. f(x) = (x-4)² + 5 for x ≥ 4 and g(x)=√x-5 +4. Of(g(x)) = ((√x-5+4)-4)² + 5x □g (f(x)) = √√((x − 4)² + 5) – - No, they are not inverses Yes, they are inverses □ g (ƒ (x)) = √√((x − 4)² + 5) − 5 + 4 ÷ æ Of(g(x)) = ((√x −5+4) - 4)² + 5 = x - 5+4 = x 1 2 3 4 5
Transcribed Image Text:Use composition to determine whether the pair of functions are inverses. Click all that are true. f(x) = (x-4)² + 5 for x ≥ 4 and g(x)=√x-5 +4. Of(g(x)) = ((√x-5+4)-4)² + 5x □g (f(x)) = √√((x − 4)² + 5) – - No, they are not inverses Yes, they are inverses □ g (ƒ (x)) = √√((x − 4)² + 5) − 5 + 4 ÷ æ Of(g(x)) = ((√x −5+4) - 4)² + 5 = x - 5+4 = x 1 2 3 4 5
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