Question

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

Answer 1

Answer:

$2x^2+16x+29$

Step-by-step explanation:

Given that,

$g(x)=2x^2-5$

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

$g(x+4)=2(x+4)^2-5\\\\=2(x^2+16+8x)-5\\\\=2x^2+32+16x-5\\\\=2x^2+16x+27$

Now,

$g(x+4)+2=2x^2+16x+27+2\\\\=2x^2+16x+29$

So, the value of $g(x+4)+2$ is  $2x^2+16x+29$