f(x)=105&radic;x3&minus;&radic;x7+63&radic;x8&minus;3f(x)=10x35&minus;x7+6x83&minus;3

Expert Answer to "f(x)=105√x3−√x7+63√x8−3f(x)=10x35−x7+6x83−3"

Answered question

2021-12-16

f(x)=105√x3−√x7+63√x8−3f(x)=10x35−x7+6x83−3

Answer & Explanation

nick1337

Expert2023-04-21Added 777 answers

To solve the function $f (x) = 105 \sqrt{x^{3}} - \sqrt{x^{7}} + 63 \sqrt{x^{8}} - 3$ , we can follow these steps:

Step 1: Simplify the function by factoring out common terms. We notice that all terms have a common factor of $\sqrt{x^{3}}$ , so we can factor it out as follows:

$f (x) = \sqrt{x^{3}} (105 - \sqrt{x^{4}} + 63 x^{2}) - 3$

Step 2: Simplify the expression inside the parentheses. We can simplify the square root of $x^{4}$ as $x^{2}$ , so we have:

$f (x) = \sqrt{x^{3}} (105 - x^{2} + 63 x^{2}) - 3$
$f (x) = \sqrt{x^{3}} (105 + 62 x^{2}) - 3$

Step 3: Simplify the square root of $x^{3}$ . We can write it as $x^{\frac{3}{2}}$ , so we have:

$f (x) = x^{\frac{3}{2}} (105 + 62 x^{2}) - 3$

This is the final simplified form of the function f(x).

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