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lilavasa [31]
2 years ago
9

If f(x) = {(2, 3), (4, 8), (7, –1)} and g(x) = {(8, 2), (–1, 4), (2, 7)}, find (f ◦ g)(x), if it exists.

Mathematics
1 answer:
zepelin [54]2 years ago
8 0

Answer:

(f o g )(x) = {8, 3), (-1, 8), (2, -1)}

Step-by-step explanation:

(f o g)(x) = [f(g(x)]

g(8) = 2 and f(2) = 3  

g(-1) = 4  and f(4) = 8

g(2) = 7 and  f(7) = -1

So, (f o g )(x) = {8, 3), (-1, 8), (2, -1)}

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Step-by-step explanation:

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3 years ago
Evaluate the expression and write your answer in the form a + bi. 1) (2-6i)+(4+2i)2) (6+5i)(9-2i)3) 2/(3-9i)4) (3 − 5i)(7 − 2i)
laiz [17]

Answer:

Step-by-step explanation:

Given the following complex numbers, we are to expressed them in the form of a+bi where a is the real part and b is the imaginary part of the complex number.

1) (2-6i)+(4+2i)

open the parenthesis

= 2-6i+4+2i

collect like terms

= 2+4-6i+2i

= 6-4i

2)  (6+5i)(9-2i)

= 6(9)-6(2i)+9(5i)-5i(2i)

= 54-12i+45i-10i²

= 54+33i-10i²

In complex number i² = -1

= 54+33i-10(-1)

= 54+33i+10

= 54+10+33i

= 64+33i

3) For the complex number 2/(3-9i), we will rationalize by multiplying by the conjugate of the denominator i.e 3+9i

= 2/3-9i*3+9i/3+9i

=2(3+9i)/(3-9i)(3+9i)

= 6+18i/9-27i+27i-81i²

= 6+18i/9-81(-1)

= 6+18i/9+81

= 6+18i/90

= 6/90 + 18i/90

= 1/15+1/5 i

4) For (3 − 5i)(7 − 2i)

open the parenthesis

= 3(7)-3(2i)-7(5i)-5i(-2i)

= 21-6i-35i+10i²

= 21-6i-35i+10(-1)

= 21-41i-10

= 11-41i

4 0
3 years ago
If the square below has an area of 50, what is the value of x
pishuonlain [190]

Answer:

10

Step-by-step explanation:

A= L²

50 = L² (do opposite operation to find L)

L = 7.07

x²= L²+ L²

x²= 7.07² + 7.07²

x² = 100 ( do opposite operation to make x the subject)

x = 10

Note: opposite operation of square is square root

4 0
2 years ago
What percent is represented by the diagram
Firdavs [7]

Answer:

180%

Step-by-step explanation:

A full box shaded in plus 80% of another box is 180%.

4 0
2 years ago
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