If f(x)= 1/3x and g(x)=3x, then what are g * f (x) and g*f(1/2)
1 answer:
The correct answer is: 3) " x ; 1/2 " ._____________________________________________________ Explanation: _____________________________________________________ Question 1) g [ f(x) ] = ? ; → Given: " f(x) = 1/3 x " ; → Given: " g(x) = 3x " ; __________________________________ g [ f(x) ] = g(1/3 x) = 3(1/3 x) = 1x = "x " .__________________________________ Question 2) g [ f(1/2) ] = ? ; __________________________________ → 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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