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Given that g(x)=2x^2-5. Calculate g(x+4)+2

Sagot :

Answer:

[tex]2x^2+16x+29[/tex]

Step-by-step explanation:

Given that,

[tex]g(x)=2x^2-5[/tex]

We need to find g(x+4)+2

[tex]g(x+4)=2(x+4)^2-5\\\\=2(x^2+16+8x)-5\\\\=2x^2+32+16x-5\\\\=2x^2+16x+27[/tex]

Now,

[tex]g(x+4)+2=2x^2+16x+27+2\\\\=2x^2+16x+29[/tex]

So, the value of [tex]g(x+4)+2[/tex] is  [tex]2x^2+16x+29[/tex]

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