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Viktor [21]
3 years ago
13

Suppose that the functions h and f are defined as follows. h(x) =3/x, x notequalto 0 f(x) = x^2 - 1 Find the compositions h comp

osite function h and f composite function f Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.)
Mathematics
1 answer:
Klio2033 [76]3 years ago
4 0

Answer:

hf(x) = 3/(x² - 1)

fh(x) = (9 - x²)/x²

Step-by-step explanation:

h(x) = 3/x

f(x) = x² - 1

h(f(x)) = 3/f(x)

hf(x) = 3/(x² - 1)

f(h(x)) = (h(x))² - 1

= (3/x)² - 1

= 9/x² - 1

fh(x) = (9 - x²)/x²

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Kim orders catering from Midtown Dinerfor $35. She spends $5 on a large order of potato salad and the rest on turkey sandwich. E
aivan3 [116]

Answer:

Kim had bought 12 sandwiches.

Step-by-step explanation:

Given:

Amount spend at Midtown Dine = $35

Amount spend on large order of potato salad = $5

Cost of each sandwich = $2.5

We need to find the number of sandwich did Kim bought.

Solution:

Let the number of sandwich Kim bought be 'x'.

Now we know that;

Amount spend at Midtown Dine is equal to sum of Amount spend on large order of potato salad and number of sandwich Kim bought multiplied by Cost of each sandwich.

framing in equation form we get;

5+2.5x=35

Subtracting both side by 5 we get;

5+2.5x-5=35-5\\\\2.5x=30

Dividing both side by 2.5 we get;

\frac{2.5x}{2.5}=\frac{30}{2.5}\\\\x=12

Hence Kim had bought 12 sandwiches.

3 0
2 years ago
A scientist uses 3/4 of an ounce of sulfuric acid each day. How many days does it take him to empty a jar, if each jar contains
Basile [38]

Answer:

32 days

Step-by-step explanation:

Assume that the jar is full initially, containing 24 oz.  After how many withdrawals of 3/4 oz will the jar be empty?

24 - (3/4)n = 0, or

24 = (3/4)n, or 96 = 3n.  Dividing both sides by 3, we get n = 32.

The jar will be empty after 32 days.

6 0
3 years ago
Both lines pass through the point (-3,-4). one has a slope of 4 and the other has a slope of -1/4
Alchen [17]
If the question is to find the slope-intercept form of both lines, here's the answer:
Both lines pass through the point (-3,-4), so we can use these coordinates in both equations. The slope-intercept form is represented by y=mx+b, with m the slope, b the intersection of the line with Y'Y for x=0, y and x the coordinates of a point.
Let's first apply all these for the first line, with a slope of 4.
y = mx + b
y=-3; x=-4; m=4. All we need to do is find b.
-3 = 4(-4) + b
-3 = -16 + b
b=13
So the equation of the first line is y= 4x + 13.

Now, we'll do the same thing but for the second line:
y=-3; x=-4; m=-1/4, and we need to find b.
-3 = (-1/4)(-4) + b
-3 = 1 + b
b= -4
So the equation of the second line is y=(-1/4)x - 4

Hope this Helps! :)
3 0
3 years ago
ANSWER QUESTION BELLOW!!⇅!!⇅
valkas [14]

Answer:

Option 3. step 1.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Write an equation of a line in slope intercept form with the given slope and the y-intercept.
defon
The way you put it is confusing. I'll answer but the way you put it was confusing to me.
7 0
3 years ago
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