–81, 108, –144, 192, which formula can be used to describe the sequence? f(x) = –81 (4/3) x-1 f(x) = –81 (-3/4) x-1 f(x) = –81 (-4/3) x-1 f(x) = –81 (3/4) x-1

Option C.

Step-by-step explanation:

The given sequence is -81, 108, -144, 192,......

We have to get the formula which describes the sequence.

We will get the common factor of this sequence first.

For 1st and second terms

common factor r = -(108)/81 = -12/9 = -4/3

For 2nd and 3rd terms

common factor r = -(144/108) = -16/12 = -4/3

Now we know the explicit formula of an geometric sequence is

Therefore function which defines the same will be

Option C is the correct option.

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)