Answer:
34
Step-by-step explanation:
51/3/2=51x2/3=102/3=34
Answer:
No, Jude’s graph is incorrect. The inequality symbol is “less than,” so -9 is not included. He should have used an open circle on -9.
^ sample response
sorry that im late on this, but i hope it helps anyone else : )
Answer:
Step-by-step explanation:
12
Answer:
D. The minimum y-value of g(x) approaches -3
Step-by-step explanation:
Form a table for values of x with corresponding values for f(x) and g(x)
<u>x </u> <u>f(x)=3x²-3 g(x)=2^x -3 </u>
-3 =3(-3²)-3=24 2⁻³ -3 = -2.88
-2 =3(-2²)-3=9 2⁻² -3 = -2.75
-1 =3(-1²)-3=0 2⁻¹-3 = -2.5
0 =3(0²)-3= -3 2⁰ -3 = -2
1 =3(1²)-3=0 2¹ -3 = -1
2 =3(2²)-3=9 2²- 3 = 1
3 =3(3²)-3=24 2³ -3= 5
From the table above, you can see the minimum value of y in g(x) -2.88 approaches -3
The derivative of the given function is f'(x) = k f(x) where
.
<h3>What is the derivative of a function?</h3>
Let f be a function defined on a neighborhood of a real number a. Then f is said to be differentiable or derivable at 'a' if
exists finitely. The limit is called the derivative or differential coefficient of f at 'a'. It is denoted by f'(a).
If f is differentiable at 'a', then

<h3>Calculation:</h3>
The given properties are:
(i) f(x + y) = f(x)f(y) for all real numbers x and y.
(ii)
= k; where k is a nonzero real number.
Then, the derivative of the function f(x) is,
f'(x) = 
From property (i), f(x + h) = f(x)f(h)
On substituting,
f'(x) = 
= ![\lim_{h \to 0} \frac{f(x)[f(h) - 1]}{h}](https://tex.z-dn.net/?f=%5Clim_%7Bh%20%5Cto%200%7D%20%5Cfrac%7Bf%28x%29%5Bf%28h%29%20-%201%5D%7D%7Bh%7D)
From property (ii),
= k;
f'(x) = ![\lim_{h \to 0} \frac{f(x)[f(h) - 1]}{h}](https://tex.z-dn.net/?f=%5Clim_%7Bh%20%5Cto%200%7D%20%5Cfrac%7Bf%28x%29%5Bf%28h%29%20-%201%5D%7D%7Bh%7D)
= f(x). 
= f(x). k
= kf(x)
Therefore, f'(x) = k f(x); where f'(x) exists for all real numbers of x.
Learn more about the derivative of a function here:
brainly.com/question/5313449
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