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salantis [7]
3 years ago
15

Using the functions f(x) = 2x + 7, g(x) = x2 - 4, and h(x) = 5x. Find all of the following. Make sure your answer is in simplest

form. a. 4h(x) b. f(x) - g(x) c. f(g(x)) d. g(x)h(x) e. g(x) / f(x)
Mathematics
1 answer:
Stolb23 [73]3 years ago
7 0

Answer:

Given

f(x) = 2x+7

g(x) = x^2-4

h(x) = 5x

a. 4h(x)

= 4 * 5x

= 20x

b. f(x) - g(x)

f(x) - g(x) = 2x + 7 - (x^2 - 4)

= 2x+7-x^2+4

=-x^2+2x+7+4

=-x^2+2x+11

c. f(g(x)) = 2(g(x))+7

=2(x^2-4) +7

=2x^2-8+7

=2x^2-1

d. g(x)h(x) = (x^2-4)(5x)

= 5x^3 - 20x

e. g(x) / f(x) = x2 - 4/ 2x + 7

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Norma-Jean [14]

Answer:

23˚

Step-by-step explanation:

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1 year ago
At Jaxlyn’s Garage, 200 cars were inspected and worked on. There were 92 cars that
Ira Lisetskai [31]

Answer:

A) 0.26

B) 0.42

Step-by-step explanation:

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52

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3 years ago
If f(1) = 13 and f '(x) ≥ 3 for 1 ≤ x ≤ 3, how small can f(3) possibly be?
tangare [24]

Answer:

The answer to this question is 19.

Step-by-step explanation:

Given that :

f(x)=13.

f'(x)=3.   1 ≤ x ≤ 3.

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∫f'(x) dx=∫3 dx

f(x)=3x+c        1 ≤ x ≤ 3.

f(1)= 3+c  

c=13-3 =10.

f(x)=3x+10  1 ≤ x ≤ 3.

now ,

f(3)=3(3)+10=19.

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6 0
3 years ago
What is the probability that Joey got his math book and biology book?
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3 years ago
Find the value of z ANSWER IS NOT 12. NO LINKS OR SPAMS! THANK YOU!!!!!!​
alexgriva [62]

Answer:

12√3

Step-by-step explanation:

sin 30 =1/2

sin30=a/24. sin=opposit side/Hypotenuse

a is the opposite side of 30

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24^2=z^2+12^2

576=z^2+144

z^2=576-144

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4 0
3 years ago
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