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## Homework Statement

find the slope of the tangent line whose g(x)=x^2-4 at point (1,-3)

## Homework Equations

lim f(x+Δχ) -F(c)/ (Δχ)

## The Attempt at a Solution

g(x)= x^2-4

G(1+Δχ)= (1+Δχ)^2-4 ==> Δχ^2+2Δχ-3

lim (Δχ^2+2Δχ-3) - (-3)/(Δχ) = 0

but in the book the answer is 2 so what could I've done wrong?