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2 years ago

3x^2 + 2x-4 = 0 help

Mathematics

2 answers:

igomit [66]2 years ago

5 0

Answer:

I dont know

Step-by-step explanation:

how to answer that

Gnesinka [82]2 years ago

3 0

Answer:

${ \rm{3 {x}^{2} + 2x - 4 = 0 }}$

• let's use the quadratic formular to solve the quadratic equation given.

• Considering general quadratic equation; ax² + bx + c = 0

• therefore;

${ \tt{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }} \\$

a is 3
b is 2
c is -4

• substitute following the mathematical operation rules:

${ \rm{x = \frac{ - 2 \pm \sqrt{ {2}^{2} - (4 \times 3 \times - 4) } }{(2 \times 3)} }} \\ \\ { \rm{x = \frac{ - 2 \pm52}{6} }} \\$

• split the values:

${ \rm{either \: \{x = \frac{ - 2 + \sqrt{52} }{6} \} \: \: or \: \: \{x = \frac{ - 2 - \sqrt{52} }{6} \} }} \\ \\ { \rm{either \: \{x = 0.87 \} \: \: or \: \: \{x = - 1.54 \}}}$

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KonstantinChe [14]

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3 years ago

Help needed on this composition math problem

Marrrta [24]

Given that f(x) = x/(x - 3) and g(x) = 1/x and the application of function operators, f ° g (x) = 1/(1 - 3 · x) and the domain of the resulting function is any real number except x = 1/3.

<h3>How to analyze a composed function</h3>

Let be f and g functions. Composition is a binary function operation where the variable of the former function (f) is substituted by the latter function (g). If we know that f(x) = x/(x - 3) and g(x) = 1/x, then the composed function is:

$f\,\circ\,g \,(x) = \frac{\frac{1}{x} }{\frac{1}{x}-3}$

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$f\,\circ\,g\,(x) = \frac{1}{1-3\cdot x}$

The domain of the function is the set of x-values such that f ° g (x) exists. In the case of rational functions of the form p(x)/q(x), the domain is the set of x-values such that q(x) ≠ 0. Thus, the domain of f ° g (x) is $\mathbb{R} - \{\frac{1}{3} \}$ .