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marta [7]
4 years ago
9

REC(x) = 1

Mathematics
1 answer:
Nastasia [14]4 years ago
4 0

Answer: a. 8; 1/2

Step-by-step explanation:

a. if the function is f(x)=2x+3 and they ask you what is f(5)? Then you just replace x with what they replaced x with and solve. f(5)=2(5)+3. 2x5=10+3=13 so then f(5)=13. So in your case they replace x with 2. Plug it in. h(2)=2^2+4.

2 to the power of 2 is 4 and then + another 4 which is 8. Thats how you get the first one, now you try and solve REC(2).

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What are the possible values of x in 8x2 + 4x = -1?
Rudiy27
Answer: x only can have complex values, not real values.


x = -1/4 - 1/4i and x = -1/4 + 1/4 i


Explanation:


Finding the possible values of x in the expression given is solving the quadratic equation.


8x² + 4x = - 1

Rearrange the terms:


8 (x² + x/2) = - 1 ← common factor 8 in the left side


x² + x/2 = - 1/8 ← division property

x² + x/2 + 1/16 = - 1/8 + 1/16 ← addition property

(x + 1/4)² = -1/8 + 1/16 ← -factor the perfect square trinomial in the left side


(x + 1/4)² = - 1/16 ← add the fractions in the right side


x + 1/4 = (+/-) √ (-1/16) ← square roots on both sides


x + 1/4 = (+/-) (1/4)i ← complex solution


x = - 1/4 +/- 1/4i


x = - 1/4 - 1/4i and x = - 1/4 + 1/4 i ← answer
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4 years ago
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