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BabaBlast [244]
3 years ago
11

What is the solution for the =.

Mathematics
1 answer:
liq [111]3 years ago
3 0

Answer:

solution for n is \frac{-13}{4}

Step-by-step explanation:

Given an equation containing one variable n.

The equation is as follows:

\frac{-5}{2} =\frac{3}{4} +n

To solve for n we can subtract 3/4 from both the sides

The result is

\frac{-5}{2} -\frac{3}{4} =n\\Take LCD as 4\\\\frac{-10-3}{4} =n

Verify:

Substitute the answer in the given equation.

\frac{-5}{2} =\frac{3}{4} -(\frac{13}{4} )

Both sides equal thus proving our correctness of answer.


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Given that f(x)= 2x+1 and g(x)= x^2 +2x+1 find (F+g)(2). Find (F.g)(x) find f(x)/g find f(2) +g(-2)?
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Answer:

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Step-by-step explanation:

Function composition and transformation combines functions together using operations such as addition, subtraction, multiplication, division and substitution. To find each, perform the operation with the functions f(x) = 2x+1 and g(x) = x^2 + 2x +1.

(f+g)(x) is the functions f and g added together with 2 substituted for x.

(f+g)(x) = 2x+1 + x^2 +2x + 1 = x^2 + 4x + 2\\(f+g)(2) = 2^2 + 4(2) + 2 = 14

(f·g)(x) is function composition that means f(g(x)) or substitute g(x) into f(x).

f(g(x)) = 2(x^2+2x+1)+1 = 2x^2 + 4x+2 + 1\\f(g(x)) = 2x^2 + 4x +3

f(x) / g(x) is division of the two functions. Division can only occur with polynomials if they share the same factors or things which multiply to create them. If none are present, do not simplify.

\frac{f(x)}{g(x)} = \frac{2x+1}{x^2+2x+1}

This cannot be simplified.

f(2) + g(-2) means find the function value of f at 2 and the function value of g at -2 then add them together.

f(2)+g(-2) = 2(2)+1 + ((-2)^2+2(-2) + 1)\\f(2) + g(-2) = 5 + (4-4+1)\\f(2) + g(-2) = 5 +1 = 6

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We need to find the formula for the area A of the circle as the function of time t.

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