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3 years ago

Open study Write the equation of the function g(x) if g(x) = f(x – 2) +4 and f(x) = x3 + 2.

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

7 0

<span>g(x) = f(x – 2) +4
f(x) = x3 + 2.

hence
$g(x) = [(x-2)^3+2]+4
\\~\\~~~~~~~ = (x-2)^3 + 6$ </span><span />

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Find the distance between the points L(7,-1) and M(-2, 4).

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Answer:

The answer is

$\sqrt{106} \: \: \: or \: \: \: 10.3 \: \: \: \: units$

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

L(7,-1) and M(-2, 4)

The distance between them is

$|LM| = \sqrt{ ({7 + 2})^{2} + ( { - 1 - 4})^{2} } \\ = \sqrt{ {9}^{2} + ({ - 5})^{2} } \\ = \sqrt{81 + 25} \\ = \sqrt{106} \: \: \: \: \: \: \: \\ = 10.29563014...$

We have the final answer as

$\sqrt{106} \: \: \: or \: \: \: 10.3 \: \: \: \: units$

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