Given that f(x) = x2+ 2x + 3 and g(x) = quantity of x plus four, over three , solve for f(g(x)) when x = 2.

Please help me understand and explain it to me please.<br><br>Recursive Sequence Function

DedPeter [7]

A recursive sequence is a sequence of numbers whose values are determined by the numbers that come before them in the sequence.

We’re given a sequence whose (n + 1)-th term f(n + 1) depends on the value of the n-th term f(n), specified by the recursive rule

f(n + 1) = -4 f(n) + 3

We’re also given the 1st term in the sequence, f(1) = 1. Using this value and the recursive rule, we can find the next term f(2). (Just replace n with 1.)

f(1 + 1) = -4 f(1) + 3

f(2) = -4 • 1 + 3

f(2) = -1

We do the same thing to find the next term f(3) :

f(2 + 1) = -4 f(2) + 3

f(3) = -4 • (-1) + 3

f(3) = 7

One more time to find the next term f(4) :

f(3 + 1) = -4 f(3) + 3

f(4) = -4 • 7 + 3

f(4) = -25

4 0

2 years ago

On a coordinate plane, a curved line with a minimum value of (negative 1.25, negative 3.25) and a maximum value of (0.25, negati

soldier1979 [14.2K]

The statement which is true about the end behavior of the graphed function is third option that is as the x-values go to negative infinity, the function's values are equal to zero.

A coordinate plane is a two dimensional plane formed by the intersection of two number lines . One of these number lines is a horizontal number lines called the x-axis and the other number line is a vertical number line called the y-axis.

The exact answer is third option that is as the x-values go to negative infinity, the function's values are equal to zero.

Step by step explanation:

Minimum value (negative 1.25, negative 3.25)

Maximum value of (0.25, negative 1.75)

The x intercepts where the graph crosses the x axis.

Value of x when y=0 crosses x axis at (negative 2.25, 0)

The y intercept are where the graph crosses the y axis.

Value of y when x=0 crosses y axis at (0, negative 2)

The line exits the plane at (negative 2.75, 6) and (1.5, 6).

It can be seen from the coordinates that as the x-values go to negative infinity, the function's values are equal to zero, the coordinates of y approaches zero.

Learn more about coordinates from:

brainly.com/question/17206319

#SPJ10

8 0

1 year ago

I beeps help please

Sergeeva-Olga [200]

Answer is in the file

7 0

2 years ago

Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t

Olin [163]

Answer:

+- 10n

Step-by-step explanation:

✯Hello✯

↪ We need to work out the nth term rule

↪ We can do this by finding the differences between the numbers and using the rules

2A

3A+B

A+B+C

↪ (Sorry I cant draw a table for you)

↪ Using the rules and drawing a table we get the final answer

+- 10N

❤Gianna❤

8 0

3 years ago

Scientists researching the effect of dietary supplements such as multivitamins and supplements of folic acid, magnesium or zinc

yarga [219]

Answer: Null hypothesis : $H_0: p_1=p_2$

Alternative hypothesis : $H_a: p_1\neq p_2$

Step-by-step explanation:

Let $p_1$ be the proportion of women using supplements and $p_2$ be the proportion of women who did not to have died during that period .

Then the set of hypothesis for testing if the proportion of women elderly women who use dietary supplements is different than those who do not will be :-

Null hypothesis : $H_0: p_1=p_2$ [∵ it takes equality sign]

Alternative hypothesis : $H_a: p_1\neq p_2$ [∵ it takes ≠ sign to show difference]

6 0

2 years ago