All categories

4 years ago

Perform the requested operation or operations. f(x) = x minus eight divided by seven.; g(x) = 7x + 8, find g(f(x)).

Mathematics

2 answers:

Anarel [89]4 years ago

8 0

F(x)=(x-8)/7
<span>g(x) = 7x + 8
</span>g(f(x))-------------- > 7*((x-8)/7)+8----------- >x-8+8=x
the answer is x

Alexus [3.1K]4 years ago

7 0

Answer:

g(f(x))=x

Step-by-step explanation:

f(x)= $\dfrac{x-8}{7}$

g(x)=7x+8

g(f(x))= $g(\dfrac{x-8}{7})$

= $7\times \dfrac{x-8}{7}+8$

=x-8+8

= x

Hence, g(f(x))=x

You might be interested in

Answer 173.22÷4 and use long division to show work.

puteri [66]

I suck at math but here's a site that will help you just add the decimal afterwords.http://www.calculatorsoup.com/calculators/math/longdivision.php

3 0

4 years ago

Find The derivative of:(cosx/1+sinx)^3

forsale [732]

Answer:

$-\frac{3 \cdot cos^2x}{(1+sinx)^3}$

Step-by-step explanation:

$y = (\frac{cosx}{1+sinx})^3\\\\\frac{dy}{dx} = 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{dy}{dx}(\frac{cosx}{1+sinx})$ $[ y = x^n\ \ \ => \ \ \ \frac{dy}{dx} = b \cdot x^{n-1} \ ]$

$= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{(1+sin x(-sinx) - cosx(cosx)}{(1+sinx)^2}\\\\$ $[\ \frac{u}{v} = \frac{v \dcot u'- u \cdot v'}{v^2}\ ]$

$= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-sin^2x- cos^2x}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x- (sin^2x+ cos^2x)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-1}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1 \cdot(sin x+1)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1}{(1+sinx)}\\\\$

$= -3 \cdot \frac{cos^2x}{(1+sinx)^3}$

5 0

3 years ago

14 - 2(3p + 1) = 6(4/p)

GuDViN [60]

Is it divide after the equal sign? I will text you on message. follow me

3 0

4 years ago

How do we create a table of values to help us graph linear equations?

VashaNatasha [74]

Let's say for example you wanted to graph the linear equation $y = 2x+5$

At minimum, we'll need 2 points to form this line.

To get any point of the form (x,y), we plug in a number for x to find a corresponding number for y.

For example, replace x with 0 to find that...

$y = 2x+5\\\\y = 2(0)+5\\\\y = 0+5\\\\y = 5\\\\$

Therefore, x = 0 leads to y = 5. So the point (0,5) is on the line.

Then we repeat this process for other x values. Let's try x = 1

$y = 2x+5\\\\y = 2(1)+5\\\\y = 2+5\\\\y = 7\\\\$

Telling us that (1,7) is also on this line. We have enough to graph this equation. Plot the two points (0,5) and (1,7). Then draw a straight line through them. Extend this line as far as you can to the left and right. The graph is shown below.

We can keep going to get other points like (2,9) and (3,11) and (4,13) and so on. A table is a way to keep track of the xy values.

$\begin{array}{|c|c|}\cline{1-2}\text{x} & \text{y}\\ \cline{1-2}0 & 5\\ \cline{1-2}1 & 7\\ \cline{1-2}2 & 9\\ \cline{1-2}3 & 11\\ \cline{1-2}4 & 13\\ \cline{1-2}\end{array}$

Each time x goes up by 1, y goes up by 2. This directly ties to the slope of 2/1 = 2.

6 0

3 years ago

The average of five consecutive odd number is

Fantom [35]

The average will be the third number, because the first and fifth, as well as the second and fourth, will average out to the third.

7 0

3 years ago

Read 2 more answers