Question

Please help :(,,,,,,???,,,,,,

Answer 1

Step-by-step explanation:

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)

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

To

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

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

You get 3x+2