If # f ( x ) = 3x ^ { 2} - 5x + 4#, what is # f ( x - 4)#?

1 Answer
VNVDVI
Mar 29, 2018

#f(x-4)=3x^2-29x+72#

Explanation:

Finding #f(x-4)# requires replacing all #x# in #f(x)=3x^2-5x+4# with #x-4.#

#f(x-4)=3(x-4)^2-5(x-4)+4#

Expand and simplify:

#f(x-4)=3(x^2-8x+16)-5x+20+4#

#f(x-4)=3x^2-24x+48-5x+24#

#f(x-4)=3x^2-29x+72#

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