SOLUTION: If f(x) = x^4 + 6, g(x) = x - 4, h(x) = \sqrt(x) , then
fogoh(x) =
i tried entered it in and i keep getting it wrong.. i believe im making an error with the simplifying (sqrt
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Question 976133: If f(x) = x^4 + 6, g(x) = x - 4, h(x) = \sqrt(x) , then
fogoh(x) =
i tried entered it in and i keep getting it wrong.. i believe im making an error with the simplifying (sqrt(x))^4+2
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Close. You are making an error in WANTING to simplify ^4)
\ =\ \sqrt{x})
So
)\ =\ \sqrt{x}\ -\ 4)
So
))\ =\ (\sqrt{x}\ -\ 4)^4\ +\ 6)
To simplify the 4th power binomial, use the binomial expansion:
^4\ =\ a^4\ +\ 4a^3b\ +\ 6a^2b^2\ +\ 4ab^3\ + b^4)
and then substitute 
for 
and 
for 
, doing all of the required arithmetic and being careful with your signs (even powers of negative numbers are positive, odd powers of negative numbers are negative).
John
My calculator said it, I believe it, that settles it
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