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3 years ago

Can I please get some help

Mathematics

1 answer:

elixir [45]3 years ago

7 0

Answer:

Step-by-step explanation:

f(x) = x² + 1

g(x) = 2x - 1

1) f(- 1) = (- 1)² + 1

f(- 1) = 1 + 1 = 2

b) f(-2) + g(-3)

f(-2) = (- 2)² + 1

f(-2) = 4 + 1 = 5

g(-3) = 2 × - 3 - 1 = - 6 - 1

g(- 3) = - 7

f(-2) + g(-3) = 5 - 7 = - 2

c) 3f(x) + 2g(x)

= 3(x² + 1) + 2(2x - 1)

= 3x² + 3 + 4x - 2

= 3x² + 4x + 1

d) f(g(3))

g(3) = 2 × 3 - 1 = 6 - 1 = 5

f(g(3)) = 5² + 1 = 25 + 1

f(g(3)) = 26

e) g(f(3))

f(3) = 3² + 1 = 9 + 1 = 10

g(f(3)) = 2 × 10 - 1 = 20 - 1

g(f(3)) = 19

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gtnhenbr [62]

Answer:

(x, y) = (-6, -4)

Step-by-step explanation:

The solution can be found quickly using a graphing calculator. It is the point of intersection of the two lines.

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If you like, you can solve the system algebraically. The second equation can be rewritten to give ...

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Substituting this into the first equation gives ...

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Adding 4 and multiplying by -3 gives ...

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Then our equation for y tells us ...

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3 years ago

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Sindrei [870]

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[ 185 cos 36, 185 sin 36 ]

+ [ 47 cos 120, 47 sin 120 ]

_______________________

[ 185 cos 36 + 47 cos 120, 185 sin 36 + 47 sin 120 ]

√( 4263 + 33988 )^2

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4 years ago

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3 years ago

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