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2 years ago

Perform the following function into the five operation function f(x)=x2+2x+5, g(x)=2x-2

Mathematics

1 answer:

Alexandra [31]2 years ago

8 0

The values of the function include

f(x) = 5

g(x) = -2

f + g = x² + 4x - 3

<h3>How to compute the values?</h3>

f(x)=x²+2x+5,

f(x) = 0² + 2(0) + 5

f(x) = 5

2. g(x)=2x-2

g(x) = 2(0) - 2

g(x) = -2

3. f + g

= x² + 2x + 5 + 2x - 2

= x² + 4x + 3

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Complete question:

Perform the following function into the five operation function f(x)=x²+2x+5, g(x)=2x-2

f(0)

g(0)

f + g

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Solve by using the quadratic formula 3x^2+5=-2x

rosijanka [135]

Hello from MrBillDoesMath!

Answer: -1/3 + i* (1/3) * sqrt(14) and -1/3 - i* (1/3) * sqrt(14)

Discussion :

Recall the solutions of the quadratic equation "ax^2 + bx + c = 0" are given by the formula

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Rewriting the given equation in this for gives

3x^2 + 2x + 5 = 0

so a = 3, b = 2, and c = 5. Substituting the values in the formula gives

x = (- 2 + sqrt ( 2^2 - 4*3*5) ) / 2a #1

and

x = (- 2 - sqrt ( 2^2 - 4*3*5) ) / 2a #2

Simplifying, #1 = ( -2 + sqrt(4-60) )/ (2 * 3) =

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-1/3 + i * (sqrt (56)) /6 =

-1/3 + i * (sqrt(4 *14)) /6 =

-1/3 + i * (sqrt(4)/6) * sqrt(14) =

-1/3 + i * (2/6) * sqrt(14) =

-1/3 + i* (1/3) * sqrt(14)

Similarly, the solution of # 2= -1/3 - i* (1/3) * sqrt(14). The only difference between the two solutions is the minus sign boldfaced above.

Regards, MrB

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CaHeK987 [17]

Simple...

which inequality is false?

A.) 4<9 (True)

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