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guapka [62]
2 years ago
10

Given f(x) = 4x - 6 and g(x) = f(2x), write an equation for g.

Mathematics
1 answer:
AysviL [449]2 years ago
5 0

f(x)=4x-6

g(x) = f(2x)

Substitute 2x into the first equation, which you get

f(2x)=8x-6

<h2><u><em>So, g(x)=8x-6</em></u></h2>

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Answer:

i) 28 - 30i

ii) 36 + 28i

Step-by-step explanation:

i) x = 6 + i ⇒2x = 2(6 + i) = 12 + 2i

z = 4 - 8i ⇒ 4z = 4(4 - 8i) = 16 - 32i

2x + 4z = (12 + 2i) + (16 - 32i) = 28 - 30i

ii) w = -1 + 5i and z = 4 - 8i

w × z = (-1 + 5i)(4 - 8i) = -4 + 8i + 20i - 40i^{2}⇒collect like terms

w × z = -4 + 28i - 40i^{2}

∵ i^{2}=-1

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What is the y cordinate of the solution<br>solve 8 and 9<br>​
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Answer:

8) The y coordinate of the solution: 4

9) Average of change from x = 2 to x = 4: 11

Step-by-step explanation:

8)

y = 2x + 2

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So

x^2 + 3 = 2x + 2

x^2 - 2x + 3 - 2 = 0

x^2 - 2x + 1 = 0

(x - 1)^2 = 0

x - 1 = 0

x = 1

Plug in x = 1 into either those 2 equations to find y

y = 2(1) + 2 = 4

or

y = (1)^2 +  3 = 1 + 3 = 4

Answer:

The y coordinate of the solution is 4

9)

p(x) = x^2 + 5x - 2

p(2) = 2^2 + 5(2) - 2 = 4 + 10 - 2 = 12

p(4) = 4^2 + 5(4) - 2 = 16 + 20 - 2 = 34

Average of change from x = 2 to x = 4:

[p(4) - p(2)]/[(x(4) - x(2)] = (34 - 12)/(4-2) = 22 /2 = 11

Answer:

Average of change from x = 2 to x = 4 :11

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3 years ago
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