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Determine algebraically whether f and g are inverse functions. f(x) = 5x - 3          g(x)= x+3/5

Question
Determine algebraically whether f and g are inverse functions. 

f(x) = 5x - 3          g(x)= x+3/5

check_circleAnswer
Step 1

To show f and g are inverse functions, we have to show f(g(x))=x and g(f(x))=x. 

Step 2

Here we have shown t...

х+3
f (x)-5х-3 , g(х)%.
f(g(x))
х+3
5
х+3
-3
-5
5
=(x+3)-3
—х+3-3
3Dх
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х+3 f (x)-5х-3 , g(х)%. f(g(x)) х+3 5 х+3 -3 -5 5 =(x+3)-3 —х+3-3 3Dх

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