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IrinaK [193]
3 years ago
6

For f(x)=2x+1 and g(x)=xsquared-7 find (f-g)(x)

Mathematics
1 answer:
devlian [24]3 years ago
5 0

Answer:

<em>(f-g)(x) = - x² + 2 x + 8</em>

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given f(x) = 2 x +1

          g(x) = x² - 7

(f-g)(x) = f(x) - g(x)

          = (2 x + 1) - ( x² -7)

         = - x² + 2 x + 1 + 7

       =  - x² + 2 x + 8

<em>(f-g)(x) = - x² + 2 x + 8     </em>

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There are 3 3/4 cookies. if there is 1/4 of a cookie in each bag, how many bags are there?
Svetlanka [38]

Answer:

15 bags

Step-by-step explanation:

3 = 12/4

3 3/4 = 3+3/4 = 12/4 + 3/4 = (12+3)/4 = 15/4

(15/4) ÷ (1/4) = 15

5 0
2 years ago
The exponential function, f(x)=2^x, undergoes two transformations to g(x)=3x2^x+5. How does the graph change? Select all that ap
Shalnov [3]

Answer: Options A and C.

Step-by-step explanation:

 The parent exponential function has the form:

f(x)=b^x

This can be transformated as following:

When you multiply the function by a factor <em>a</em> (a*f(x))<em> </em>and <em>a>0 </em>, then the function is  vertically stretched.

When you add a number <em>k</em> to the parent function, the function is shifted up (f(x)+k)

The parent function given in the problem is:

f(x)=2^x

To obtain the function g(x)=3*2^x+5, the parent function is multiplied by a factor 3 (which is greater than 0) and the number 5 is added.

Therefore, the graph is shifted up and vertically stretched.

5 0
3 years ago
Which of these scales are equivalent to 3cm to 4 km
sergij07 [2.7K]

Answer:

You need to add more context to the question. I cannot answer it without knowing what "These scales" are.

5 0
3 years ago
Write an exponential function of the form f(x) = ab* whose graph passes through the
Andrews [41]

Answer:

Step-by-step explanation:

let f(x)=ab^x

when x=1,f(x)=6

6=ab

when x=2,f(x)=18

18=ab^2

divide

\frac{ab^2}{ab}=\frac{18}{6}\\b=3\\ab=6\\3a=6\\a=2\\f(x)=2(3)^x

4 0
3 years ago
What is the value of tan x°?
dmitriy555 [2]
Hi there!

\tan(x)  =  \frac{opposite \: side}{adjecent \: side}
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\tan(x)  = 1 \frac{1}{3}

x = 53.1
Therefore tan x° = 1 1/3 and x = 53.1°

8 0
3 years ago
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