Find g(w + 1)

g(x) = 2x-7

2(w+1)-7

2w+2-7

is this correct?

It is correct as far as it goes, but you did not finish it.

If g(x) = 2x-7,

g(w+1) = 2(w+1) -7 = 2w +2 - 7
= 2w - 5

thanks

Yes, your simplification is correct.

To find g(w + 1), you substitute (w + 1) into the function g(x) = 2x - 7.

So, plugging in (w + 1) for x, we get:

g(w + 1) = 2(w + 1) - 7

To simplify further, you distribute the 2 to both terms inside the parentheses:

g(w + 1) = 2w + 2 - 7

Combining like terms, you get:

g(w + 1) = 2w - 5

So, by simplifying the expression, you have correctly determined that g(w + 1) = 2w - 5.