Find the Difference quotient f(x+h)-f(x)/h, where h does not equal zero for the function below f(x)=x^2-5 Simplify the answer as much as possible Thank you

Answer 1

f ( x + h ) – f ( x ) ⁄ h

f ( x ) = x² – 5

f ( x + h ) = ( x + h )² – 5

f ( x + h ) = ( x² + xh + xh + h² ) – 5

f ( x + h ) = ( x² + 2xh + h² ) – 5

x² + 2xh + h² – 5 – ( x² – 5 ) ⁄ h

x² + 2xh + h² – 5 – x² + 5 ⁄ h

2xh + h² ⁄ h

h ( 2x + h ) ⁄ h

2x + h

Answer 2

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