Consider these functions f(x)=3x-7 g(x)=x+1/x-1 what is the of f(g(3)) answer

Mathematics

1 answer:

JulijaS [17]3 years ago

3 0

Answer:

$\boxed{-1}$

Step-by-step explanation:

$g(3) = \frac{3 + 1}{3 - 1} = 2$

$f(g(3)) = 3(2) - 7 = -1$

You might be interested in

According to historical data, it is believed that 12% of American adults work more than one job. To investigate if this claim is

kogti [31]

Answer:

The answer is "Option C"

Step-by-step explanation:

Please find the complete question in the attached file.

In this question its value of P is 0.0644, the significance level is higher than 0.05. Which doesn't reject $H_o$ ,

4 0

3 years ago

The height of a tree in feet over x years is modeled by the function f(x). f(x)=301+29e−0.5x which statements are true about the

Karo-lina-s [1.5K]

Given this equation:

$f(x)=301+29^{-0.5x}$

That represents the height of a tree in feet over (x) years. Let's analyze each statement according to figure 1 that shows the graph of this equation.

The tree's maximum height is limited to 30 ft.

As shown in figure below, the tree is not limited, so this statement is false.

The tree is initially 2 ft tall

The tree was planted in x = 0, so evaluating the function for this value, we have:

 $f(0)=301+29^{-0.5(0)}=301+1=302ft$

So, the tree is initially $\boxed{302ft}$ tall.

Therefore this statement is false.

Between the 5th and 7th years, the tree grows approximately 7 ft.

if x = 5 then:

 $f(5)=301+29^{-0.5(5)}=301ft$ 

if x = 7 then:

$f(7)=301+29e^{0.5(7)}=301ft$

So, between the 5th and 7th years the height of the tree remains constant
:
$\Delta=f(7)-f(5)=301-301=0ft$

This is also a false statement.

After growing 15 ft, the tree's rate of growth decreases.

It is reasonable to think that the height of this tree finally will be 301ft. Why? well, if x grows without bound, then the term $29^{-\infty}$ approaches zero.

Therefore this statement is also false.

Conclusion: After being planted this tree won't grow.