Given the function g(x) = 5 − x(squared) , simplify g(x + h) − g(x) __ h ​​, h ≠ 0

Question

g(x)=5-x²

simplify g(x+h)-g(x)/h

h cannot = 0

Answer 1

[g(x+h)-g(x)]/h

=[5-(x+h)²-5-x²]/h

=[5-(x²+2xh+h²)-5-x²]/h= -(2xh+h²)/h=-2x-h

Answer 2

[g(x+h)-g(x)]/h

=[5-(x+h)²-5-x²]/h

=[5-(x²+2xh+h²)-5-x²]/h= -(2xh+h²)/h=-2x-h