Question #e09aa

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Answer 1 · 2017-04-28T19:36:22

Substitute #x+6# everywhere there is an x in #f(x)# and then simplify.

Given:
f(x) = 2x - x^2 + 45

Substitute #x+6# for every x:

#f(x+6) = 2(x+6) - (x+6)^2 + 45#

Simplify:

#f(x+6) = 2x+12 - (x^2+12x+36) + 45#

#f(x+6) = 2x+12 -x^2-12x-36 + 45#

#f(x+6) = -x^2-10x+21#