Find f(x) and g(x) so that the function can be described as y = f(g(x)).

y = three/ by square root of quantity three x plus four.

f(x) = three divided by square root of x, g(x) = 3x + 4
f(x) = square root of quantity three x plus four., g(x) = 3
f(x) = three divided by x., g(x) = 3x + 4
f(x) = 3, g(x) = square root of quantity three x plus four

Question

Find f(x) and g(x) so that the function can be described as y = f(g(x)). 

y = three/ by square root of quantity three x plus four.

 f(x) = three divided by square root of x, g(x) = 3x + 4
 f(x) = square root of quantity three x plus four., g(x) = 3
 f(x) = three divided by x., g(x) = 3x + 4
 f(x) = 3, g(x) = square root of quantity three x plus four

welshfella · Answer

try each option in turn
for option 1 , y is found by replacing the x in  3 / sqrtx  by (3x + 4)

welshfella · Answer

does that give the same expression for y as in the question?

welshfella · Answer

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