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T: 4.1 Relations and Functions uestion 14 of 14. Step 1 of 1 17/22 Correct etermine g(x + a) – 8(x) for the following functio
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Answer #1

Ans:- Given that the function g(x)=2x2+5x

g(x+a)=2(x+a)2+5(x+a)

=2{(x2+2xa+a2)}+5x+5a

=2x2+4xa+2a2+5x+5a

Then,

g(x+a)-g(x)={2x2+4xa+2a2+5x+5a}-{2x2+5x}

=2x2+4xa+2a2+5x+5a-2x2-5x

=4xa+2a2+5a

Hence,g(x+a)-g(x)=2a2+4xa+5a ans.

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