Question
Evaluate the difference quotient for each function $f(x)$$$f(x)=4 x^{2}-6$$
Step 1
Step 1: First, we need to find $f(x+h)$ by substituting $x+h$ into the function $f(x)$: \[f(x+h) = 4(x+h)^{2}-6\] \[= 4(x^{2}+2xh+h^{2})-6\] \[= 4x^{2}+8xh+4h^{2}-6\] Show more…
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