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3 years ago

7

The function f(x) =2(3)^x is to be multiplied by the function g(x) 3(3)^(2x) to create the function h(x). Which function is prod

uced?
A. h(x)=6(9)^(3x)

B. h(x)=6(3)^(2x^2)

C. h(x)=6(3)^(3x)

D. h(x)=6(6)^(2x^2)
Please show work!

1 answer:

maria [59]3 years ago

7 0

Answer C is the right answer.

Step-by-step explanation:

h(x) = f(x) * g(x)

h(x) = (2*3^x ) * ( 3*3^2x )

2 * 3 is easy, that will be 6.

The ground number 3 remains 3 in h(x), so that is easy too...

But with multiplying exponents, you can add them.

Let's concentrate only on the exponents of f(x) and g(x)... and add them...

x + 2x =3x

So, now combine the easy part with this new exponent, and you get <u>h(x)</u><u> </u><u>=</u><u> </u><u>6</u><u>*</u><u>(3)^(3x)</u>

<u>So</u><u> </u><u>answer C is the right answer.</u>

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