The function g is defined by g(x)=2x^2+3 Find g(5a)

Mathematics

2 answers:

mezya [45]2 years ago

7 0

Answer:

g(5)= 103

Step-by-step explanation:

2x is 2(5)^2+3

2*5 is 10

10^2=100

100+3 = 103

Furkat [3]2 years ago

5 0

For this case we have a function of the form $y = g (x)$

Where:

$g (x) = 2x ^ 2 + 3$

We must find g (5a), that is, substitute $x = 5a$ :

Substituting: in the function we have:

$g (5a) = 2 (5a) ^ 2 + 3\\g (5a) = 2 * 25a ^ 2 + 3\\g (5a) = 50a ^ 2 + 3$

Finally, the answer is:

$g (5a) = 50a ^ 2 + 3$

Answer:

$g (5a) = 50a ^ 2 + 3$

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What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$