The first one (f×g)(x) is asking you what is f of x times g of x. This means you multiply the function. You can multiply by the first term (5x) then the second (3) and combine like terms.

${15x}^{2} (5x) = {75x}^{3} \\ 19x(5x) = 95 {x}^{2} \\ 6(5x) = 30x$

${15x}^{2} (3) = 45 {x}^{2} \\ 19x(3) = 57x \\ 6(3) = 18$

Combine like terms

${75x}^{3} + {95x}^{2} + {45x}^{2} + 30x + 57x \\ + 18 = \\ {75x}^{3} + {140x}^{2} + 87x + 18$

The second one asks you to divide.

Factor out f(x):

${15x}^{2} + 19x + 6$

From dividing f(x) /g(x)

$\frac{ {15x}^{2} + 19x + 6 }{5x + 3}$

$\frac{(5x + 3)(3x + 2)}{5x + 3}$

Cancel like terms since (5x+3) is on top and bottom of fraction.

You get 3x+2

5 0

3 years ago

15 cards are added to n cards. 6 people the share the cards equally. Express the number of cards for each person in terms of n

trapecia [35]

$\frac{15+n}{6}$

7 0

3 years ago

V2 is equal to + 2 a s derive<br>

vovangra [49]

<h2>Answer:</h2><h3>v² =u²+2aaS</h3><h3> </h3><h2 /><h2 />

6 0

3 years ago

Triangle ABC is shown below.

zhannawk [14.2K]

Answer:

Step-by-step explanation:

3 0

3 years ago

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