H ( x ) = ( x + 6 )^8 in the form fog . If f ( x ) = x^8 , find the function g ( x ) ?

Question

#h(x)=(x+6)^8# in the form of #f@g#. If #f(x)=x^8#, find the function #g(x)#

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Answer 1 · 2018-05-08T04:05:34

#g(x)=x+6#

.

#h(x)=f@g(x)=(x+6)^8#

#f(x)=x^8#

#f@g(x)# is the same as #f(g(x))# which is found by plugging in #g(x)# for #x# in #f(x)#. Therefore,

#f(g(x))=(x+6)^8#

Then:

#g(x)=x+6#