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GaryK [48]
4 years ago
7

Find f(g(-4)) and g(f(-4)) using the functions below. f(x) = 2x + 7 g(x) = x2 + 3x - 1

Mathematics
1 answer:
daser333 [38]4 years ago
8 0

Answer:

f(g(-4)) = 13.

g(f(-4)) = -3.

Step-by-step explanation:

g(-4) = (-4)^2 + 3(-4) - 1

= 3.

so f(g(-4))

= f(3)

= 2(3) + 7

= 13.

f(-4) =  2(-4) + 7

= -1.

so g (f(-4))

= g(-1)

= (-1)^2 - 3 - 1

= -3.

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The answer is 61,000
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3 years ago
A milkshake recipe calls for 1/3 cup of milk for each milkshake. If a server has 15/8 cups of milk, what is the maximum number o
Zepler [3.9K]

Answer:

5 milk shakes

Step-by-step explanation:

From the above question, we know that for the recipe

1/3 cup of milk = 1 milk shake

15/8 cup of milk = y milk shakes

We cross Multiply

15/8 cup × 1 = 1/3cup × y

y = 15/8 cup × 1 /1/3cup

= 15/8 ÷ 1/3

= 15/8 × 3

= 45/8

= 5.625 of 5 5/8 cups of milk

Therefore, the maximum number of

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4 0
4 years ago
Determine the exact solution to the following in radians.
Sloan [31]
3sinx+1=sinx
2sinx+1=0
2sinx=-1
sinx=-1/2
x=sin^-1 (1/2) = 30 = \pi/6 (when finding the inverse, always take the positive value, ignore the negative sign)
x is therefore negative in 3rd and 4th quadrant
Therefore values of x are:
180+30=210 = 7\pi/6
360-3=330 = 11\pi/6
3 0
3 years ago
Landon is saving up to buy a new jacket. He already has $70 and can save an additional $7 per week using money from his after sc
Alexeev081 [22]

For this case we have to:

Let "w" be the variable that represents the number of savings weeks.

We have that Landon's initial amount is $ 70.

We want to know how much money you have after 5 weeks, knowing that you save $ 7 each week, so be "y" the amount of money after "W" weeks:

y = 70 + 7w

After 5 weeks:

y = 70 + 7 (5)\\y = 70 + 35\\y = 105\

Answery = 70 + 7w\\y = 105

4 0
3 years ago
Screen shot is below Evaluate Functions From a Graph please help! thanks!
IrinaK [193]
As determined by the graph, f(-9) = 9
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4 years ago
Read 2 more answers
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