Question

If f(x)= 1/3x and g(x)=3x, then what are g * f (x) and g*f(1/2)

1. 1/x, 2
2. 1/x, 1/2
3. x, 1/2
4. 1/9x, 1/18

Answer 1

The correct answer is: 3) " x ; 1/2" .
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Step-by-step explanation:
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Question 1)

g [ f(x) ] = ? ;

→ Given: " f(x) = 1/3 x " ;

→ Given: " g(x) = 3x " ;
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g [ f(x) ] = g(1/3 x) = 3(1/3 x) = 1x = "x" .
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Question 2)

g [ f(1/2) ] = ? ;
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→ Given: " f(x) = 1/3 x " ;

→ f(1/2) = (1/3) * (1/2) = (1*1) / (3*2) = (1/6) ;

→ g [ f(x) ] =

g(1/6) = 3* (1/6) = (3/1) * (1/6) = (3*1) / (1*6) = 3/6 = (3÷3) / (6÷3) = " 1/2 " .
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