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Nastasia [14]
3 years ago
6

If h(x)=(fog)(x) and h(x)=³√x+3, find g(x) if f(x) =³√x+2

Mathematics
1 answer:
ipn [44]3 years ago
6 0

Answer:

g(x)=x+1

The problem:

Find g(x) if h(x)=(f \circ g)(x),

h(x)=\sqrt[3]{x+3}, and

f(x)=\sqrt[3]{x+2}.

Step-by-step explanation:

h(x)=(f \circ g)(x)

h(x)=f(g(x))

Replace x in f(x)=\sqrt[3]{x+2} with g(x) since we are asked to find f(g(x)):

\sqrt[3]{x+3}=\sqrt[3]{g(x)+2}

\sqrt[3]{x+1+2}=\sqrt[3]{g(x)+2}

This implies that x+1=g(x)

Let's check:

(f \circ g)(x)

f(g(x))

f(x+1)

\sqrt[3]{(x+1)+2}

\sqrt[3]{x+1+2}

\sqrt[3]{x+3}  which is the required result for h(x).

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Find the coordinates of the midpoint of (x,y) for A(9,1) and B(3,7)
tekilochka [14]

9514 1404 393

Answer:

  (6, 4)

Step-by-step explanation:

The midpoint is found as the average of the coordinates of the end points.

  M = (A +B)/2

  M = ((9, 1) +(3, 7))/2 = (9+3, 1+7)/2 = (12, 8)/2

  M = (6, 4)

The midpoint of segment AB is (x, y) = (6, 4).

5 0
3 years ago
Bee humming birds weigh only 0.0056 ounces. They haev t eat half their body weight every day to survive. How much food does a be
Advocard [28]

Answer:

The Humming bee need to eat 0.0028 ounces of food each day.

Step-by-step explanation:

Given:

Weight of the humming bee = 0.0056 ounces

We need to find amount of food humming bee should eat each day to survive.

Solution:

Now given that:

They have to eat half their body weight every day to survive.

So we can say that;

Amount of food humming bee needs to eat is half of the weight of the humming bee.

framing in equation form we get;

Amount of food humming bee needs to eat  = \frac{1}{2}\times 0.0056 =  0.0028\ ounces

Hence The Humming bee need to eat 0.0028 ounces of food each day.

5 0
3 years ago
Where would (0.5,2) be potted ? Please answer this !!
NISA [10]

 (0.5,2)

0.5 is x value

2 is y value

         l

         l

---------------

        l

        l

x value is on dashed line (0.5)

y value is on more separated line going up and down. (2)

To plot 0.5, you can put it as an equation. 0.5= 1/2. So to plot it, 0.5 is half of 1. So plot it as in between the 1 and 0.

To plot 2 go up to the two on the y axis and then go over 0.5 and plot a point.

That is you're plotted point for (0.5,2)


Hope it helps!

7 0
3 years ago
Read 2 more answers
The sum of two binomials <br> Is
barxatty [35]

Is there a equation? Or do you just wanna know what the sum of two binomials equal?

8 0
3 years ago
Read 2 more answers
PLEASSSSSEEE HELP A GIRL OUT PLZZ​
eduard

Answer:

B. The two lines are neither parallel nor perpendicular.

Step-by-step explanation:

First, put both lines into the same format. In this example, we're going to use y=mx+b format.

x - 4y = -9

-4y = -x + -9

y = (-x + -9) / -4

y = (x+9)/-4

y = (-1/4)x + (-9/4)

y = 3x - 7

If two lines are parallel, they have the same slope. (ie 4 and 4)

If two lines are perpendicular, one line's slope is the negative reciprocal of the other. (ie 4 and -1/4)

Neither is true here.

6 0
3 years ago
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