QF Q3b.) Find the following function

Mathematics

1 answer:

Marizza181 [45]3 years ago

6 0

This is an example of a composite function which can be simplified to g(fx). Literally input f(x) into the x of g(x), leading to the answer of 80x^2-120x+42

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First, use the "completing the square" process to write this equation in the form (x + D)² = E. x² - 8 x + 12 = 0 is equivalent

Leni [432]

Answer:

D = -4

E = 2

Step-by-step explanation:

The procedure for completing the square method is given as:

x2 + bx + c = 0

x2 + bx = -c

x2 + bx + (b/2)2 = -c + (b/2)2

Aolving the LHS simultaneously,

(x + b)2 = -c + (b/2)2

Find the square root of both sides,

(x + b) = sqrt(-c + (b/2)2)

So for the equation, x2 - 8x + 12

x2 - 8x = -12

x2 - 8x + 16 = -12 + 16

(x - 4)2 = 4

So square root both sides,

(x - 4) = 2

Comparing this to the equation given,

(x - D) = E;

D = -4

E = 2

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3 years ago

How do you multiply fractions using cancellations

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3 years ago

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The angle of elevation to the top of a Building in New York is found to be 2 degrees from the ground at a distance of 2 miles fr

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Check the picture below.

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