Answer:
Consider the difference quotient formula.
f(x+h)−f(x)hf(x+h)-f(x)h
Find the components of the definition.
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f(x+h)=5h+5x−3f(x+h)=5h+5x-3
f(x)=5x−3f(x)=5x-3
Plug in the components.
f(x+h)−f(x)h=5h+5x−3−(5x−3)h
Explanation:
Consider the difference quotient formula.
f(x+h)−f(x)hf(x+h)-f(x)h
Find the components of the definition.
Tap for more steps...
f(x+h)=5h+5x−3f(x+h)=5h+5x-3
f(x)=5x−3f(x)=5x-3
Plug in the components.
f(x+h)−f(x)h=5h+5x−3−(5x−3)h