Given the function f(x);
![f(x)=-4x^2+4x-1](https://tex.z-dn.net/?f=f%28x%29%3D-4x%5E2%2B4x-1)
Evaluating the function f(x+h);
![\begin{gathered} f(x+h)=-4(x+h)^2+4(x+h)-1 \\ f(x+h)=-4(x^2+2xh+h^2)^{}+4(x+h)-1 \\ f(x+h)=-4x^2-4h^2-8xh^{}+4x+4h-1 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28x%2Bh%29%3D-4%28x%2Bh%29%5E2%2B4%28x%2Bh%29-1%20%5C%5C%20f%28x%2Bh%29%3D-4%28x%5E2%2B2xh%2Bh%5E2%29%5E%7B%7D%2B4%28x%2Bh%29-1%20%5C%5C%20f%28x%2Bh%29%3D-4x%5E2-4h%5E2-8xh%5E%7B%7D%2B4x%2B4h-1%20%5Cend%7Bgathered%7D)
So;
![f(x+h)=-4x^2-4h^2-8xh^{}+4x+4h-1](https://tex.z-dn.net/?f=f%28x%2Bh%29%3D-4x%5E2-4h%5E2-8xh%5E%7B%7D%2B4x%2B4h-1)
Evaluating the second function;
![\begin{gathered} \frac{f(x+h)-f(x)}{h}=\frac{-4x^2-4h^2-8xh^{}+4x+4h-1-(-4x^2+4x-1)}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4x^2-4h^2-8xh^{}+4x+4h-1+4x^2-4x+1}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4x^2+4x^2-4h^2-8xh^{}+4x-4x+4h-1+1}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4h^2-8xh^{}+4h}{h} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cfrac%7B-4x%5E2-4h%5E2-8xh%5E%7B%7D%2B4x%2B4h-1-%28-4x%5E2%2B4x-1%29%7D%7Bh%7D%20%5C%5C%20%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cfrac%7B-4x%5E2-4h%5E2-8xh%5E%7B%7D%2B4x%2B4h-1%2B4x%5E2-4x%2B1%7D%7Bh%7D%20%5C%5C%20%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cfrac%7B-4x%5E2%2B4x%5E2-4h%5E2-8xh%5E%7B%7D%2B4x-4x%2B4h-1%2B1%7D%7Bh%7D%20%5C%5C%20%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cfrac%7B-4h%5E2-8xh%5E%7B%7D%2B4h%7D%7Bh%7D%20%5Cend%7Bgathered%7D)
simplifying further;
![\begin{gathered} \frac{f(x+h)-f(x)}{h}=\frac{-4h^2-8xh^{}+4h}{h}=-4h-8x+4 \\ \frac{f(x+h)-f(x)}{h}=-4h-8x+4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cfrac%7B-4h%5E2-8xh%5E%7B%7D%2B4h%7D%7Bh%7D%3D-4h-8x%2B4%20%5C%5C%20%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D-4h-8x%2B4%20%5Cend%7Bgathered%7D)
Therefore, we have;
Answer:
32
Step-by-step explanation:
3+30-1
33-1
32
Answer:
hope you will understand my handwriting and if it was helpful for you then plz mark me as brainliest
1. 0.3% or 30%
2. 15 minutes
3. 48 times
X=-32.2
Just flip them with reverse check