Question

2g(7–x)+g (2х), если g(x) = x+4​

Answer 1

2g(7-x)+g(2х)=14g-gx+2gx= 14g-(x+4)+2(x+4)= 14g-x-4+2x+8=14g+x+4(если требовалось сократить, то я правильно сделал, но если надо найти корень, то хз - здесь надо через систему тогда)

Answer 2

To simplify the expression, let's first substitute the given function $g(x) = x + 4$ into the expression $2g(7-x) + g(2x)$:

$2g(7-x) + g(2x) = 2(x+4)(7-x) + (x+4)(2x)$

Now, let's distribute the factors and simplify the expression step by step:

1. Distribute $2(x+4)$ and $(x+4)$: $2(x+4)(7-x) = 2(7x + 28 - x^2 - 4x) = 14x + 56 - 2x^2 - 8x$ $(x+4)(2x) = 2x^2 + 8x$

2. Combine the terms: $14x + 56 - 2x^2 - 8x + 2x^2 + 8x$

3. The terms $-2x^2$ and $2x^2$ cancel out, and the terms involving $x$ can be combined: $14x - 8x + 8x + 56$

4. Combine the $x$ terms: $14x - 8x + 8x = 14x$

5. The final expression becomes: $14x + 56$

So, the simplified expression is $14x + 56$.