Which expression represents the composition [f o g o h](x) for the functions below?f(x) = –2x4g(x) = 4x – 6h(x) = x – 1
Answer
A
–2(4x – 10)4
B
–8(x – 1)4 – 6
C
–2(4x – 6)4 – 1
D
–2x4 – 1
Explanation
Work from the inside out: h(x) = x − 1, so g(h(x)) = 4(x − 1) − 6 = 4x − 10. Applying f to that result gives f(g(h(x))) = −2(4x − 10)^4, which is choice A.
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