Question

If, g(x)=-2(x+2)-6 what is g(b-5)=

Answer 1

The value of
`g(b-5)=-2b`

Solution:

In the notation g(x) we know that whatever is put in the parentheses is what we replace for x. In the given situation, since it is g(b-5) we have to replace every x in the function with b-5. That is if,

`g(x)=-2(x+2)-6`

then,
`g(b-5)=-2((b-5)+2)-6`

`\Rightarrow g(b-5)=-2(b-5+2)-6`

On solving we get,

`\Rightarrow g(b-5)=-2(b-3)-6\rightarrow g(b-5)=-2b+6-6`

`\Rightarrow g(b-5)=-2b`