Question

Given g, left bracket, x, right bracket, equals, minus, x, minus, 2g(x)=−x−2, find g, left bracket, minus, 5, right bracketg(−5)

Answer 1

To evaluate g(-5) for the function g(x)=-x-2, substitute -5 for x to get g(-5)=5-2=3.

Step-by-step explanation:

The subject of this question is Mathematics, specifically the evaluation of a function.

To find g(-5), you substitute the value -5 into the function g(x) in place of x. The function given is g(x) = -x - 2. Replacing x with -5, you get g(-5) = -(-5) - 2.

Following the rules of arithmetic operations, dealing with double negatives turns the minus before the 5 into a plus, so you get g(-5) = 5 - 2, which simplifies to g(-5) = 3.

To summarize the process, we:

Replace x with -5 in the function.

Calculate the expression by changing the double negative into a positive.

Subtract 2 from 5 to get the final result.