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Alexus [3.1K]
3 years ago
8

Let f(x)=2x-1 and g(x)=x^2 -3. Find (f o g)(-3)

Mathematics
1 answer:
anzhelika [568]3 years ago
6 0
(f o g)(-3) = (f(g(-3))
Because g is on the inside, we carry out g first.

g(x) = x^2 - 3
Substitute -3 in for x.
g(-3) = (-3)^2 - 3 = 9 - 3 = 6
g(-3) = 6

Next, carry out f on the result of g(-3)
f(6) = 2(6) - 1
      = 12 - 1
      = 11
So the answer is 11.

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Find the slope of the line shown on the graph to the right
damaskus [11]

Answer:

1

Step-by-step explanation:

We need two points to find the slope

( -1,0) and ( 2,3)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 3-0)/(2 - -1)

  = (3-0) / ( 2+1)

  = 3/3

  = 1

The slope is 1

6 0
2 years ago
How to multiply 18 3/8 x 1/4
user100 [1]
Decimal Form: 
4.59375<span> 
</span>
Exact Form:     
<span>147/32</span><span> 

</span>Mixed Number Form: <span>4 19/32</span>
4 0
2 years ago
3x+y=115x-y=21 Directions: Solve each system of equations by elimination. Clearly identify your solution.
olchik [2.2K]

To solve, we will follow the steps below:

3x+y=11 --------------------------(1)



5x-y=21 ------------------------------(2)

since y have the same coefficient, we can eliminate it directly by adding equation (1) and (2)

adding equation (1) and (2) will result;

8x =32

divide both-side of the equation by 8

x = 4

We move on to eliminate x and then solve for y

To eliminate x, we have to make sure the coefficient of the two equations are the same.

We can achieve this by multiplying through equation (1) by 5 and equation (2) by 3

The result will be;

15x + 5y = 55 ----------------------------(3)

15x - 3y =63 --------------------------------(4)

subtract equation (4) from equation(3)

8y = -8

divide both-side of the equation by 8

y = -1

8 0
1 year ago
Which line is parallel to the line that passes through the points (1, 7) and (-3, 4)? A. B. C. D.
Helga [31]

Answer:

hope this helps you

7 0
3 years ago
What is sin(45)<br> A. -.25<br> B. -1.25<br> C. 63<br> D. .71
azamat

Answer:

D

Step-by-step explanation:

Sin(45) .70 rounded is 71

4 0
3 years ago
Read 2 more answers
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