#### To determine

**To find**: Value of C and b for the given function fx=Cbx.

#### Answer

**Answer:fx=3(2x)**.

#### Explanation

Graph of fx=Cbx and two points 1,6, 3,24, which means that the value of the given function is 6 at the point x=1 and the value of the function is 24 at the point x=3.

Since given points are (1,6) and (3,24), f1=6 and f3=24.

Now as f1=6, therefore

6=Cb……….. (A)

and as f3=24, therefore

Cb3=24……. (B)

Divide equation (A) by equation (B), we get

cb3cb=246

i.e.,b2=4 b=±2. Since b is positive,b=2. Substitute the value of b in equation (A), we get C=3.

**Conclusion:** Thus fx=3(2x).