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liberstina [14]
10 months ago
12

4x2 + 4x - 1, evaluate and fully simplify each of the - For the function f(0) following f(s + h) f(x + h) - f(5) h 10

Mathematics
1 answer:
Andrew [12]10 months ago
7 0

Given the function f(x);

f(x)=-4x^2+4x-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}

So;

f(x+h)=-4x^2-4h^2-8xh^{}+4x+4h-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}

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}

Therefore, we have;

undefined

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2 years ago
Simplify: power with a power 5^8*7^8
Rainbow [258]
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3 years ago
Which expression is equivalent to (3x-1) (-5x+6)?
Gnoma [55]

Answer:

−15x2+23x−6

Step-by-step explanation:

(3x−1)(−5x+6)

=(3x+−1)(−5x+6)

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=−15x2+18x+5x−6

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8 0
3 years ago
Please help I have 15 minutes!!!!!!!
DedPeter [7]

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NO WAIT NO IGNORE MY PREVIOUS ANSWER

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Y=2x-5<br> 3x+8y+32=56 <br> What does y and x equal?
AVprozaik [17]
Y = 2x - 5
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3x + 8(2x - 5) + 32 = 56
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3x + 16x - 40 + 32 = 56
19x - 8 = 56
<u>      + 8   + 8</u>
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      19     19
         x = 3.4
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(x, y) = (3.4, 1.8)
5 0
2 years ago
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