Test: Functions III - Challenging

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Question 1:   Find the inverse function of f(x)=x+2
f 1 (x)=2x
f 1 (x)= 1 x +2
f 1 (x)=x2
f 1 (x)= 1 x 2
Question 2:   Find the inverse function of f(x)= x+2 x2
f 1 (x)= 2x+2 x
f 1 (x)=2 x1 x+1
f 1 (x)= 2x+2 x2
f 1 (x)= 2x+2 x1
Question 3:   Find the inverse function of f(x)= 3( x5 ) 2( x+1 )
f 1 (x)= 2x+15 32x
f 1 (x)= 2x+15 2x3
f 1 (x)= 2x15 2x3
f 1 (x)= 2x+15 2x+3
Question 4:   Find f 1 (4) of f(x)= 2x1 53x
1 2
3 2
-1
1
Question 5:   If f(x)=2x+1 and g(x)= 1 2 x1 , find f( g(x) )
f( g(x) )=2 1 2 x
f( g(x) )=x1
f( g(x) )=2x+2
f( g(x) )= x 2 1
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