If f of x is equal to x to the 5th power minus 1 , g of x is equal to 5 x squared , and h of x is equal to 2 x , which expression is equivalent to open bracket g circ f circ h close bracket times 9 ?
Answer
A
open paren 5 times open paren 2 times 9 close paren squared close paren to the 5th power minus 1
B
2 times open paren 5 times open paren 9 to the 5th power minus 1 close paren squared close paren
C
2 times open paren open paren 5 times 92 close paren to the 5th power minus 1 close paren
D
5 times open paren open paren 2 times 9 close paren to the 5th power minus 1 close paren squared
Explanation
Apply the functions from the inside out: h(9) = 2 × 9 = 18, then f(18) = 18⁵ − 1. Finally, g(f(18)) = 5(18⁵ − 1)², which is choice D.
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