Math, asked by 1407memadhavikanvesh, 1 month ago

If f(x) = x² + 5, find f(x + 2) - f(x - 2).​

Answers

Answered by richitha77
6

Answer:

8x

Step-by-step explanation:

f(x)=x² +5

put x=x+2

f(x+2)=(x+2)² +5

=x²+4+2x+5

=x²+4x+9

put x=x-2

f(x-2)=(x-2)²+5

=x²+4-2x+5

=x²-4x+9

f(x+2)-f(x-2)=x²+4x+9-(x²-4x+9)

=x²+4x+9-x²+4x-9

=8x

Answered by nandithyangoti
1

Answer:

8x

Step-by-step explanation:

f(x) = x²+5

f(x+2) = (x+2)²+5

= x²+4+4x+5

= x²+4x+9

f(x-2) = (x-2)²+5

= x²+4-4x+5

= x²-4x+9

f(x+2) - f(x-2) = (x²+4x+9)-(x²-4x+9)

= x²+4x+9-x²+4x-9

= 8x

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