Precalc Help pls!!! I am stuck on this one so pls help :)

x ≠ 7  

(x < 7 or x > 7)

{x : x < 7 U x > 7}

Step-by-step explanation:

f o g = f [ g(x) ]

This means replace the x of f(x) with g(x):

f o g =

domain = set of values that go into the function

Therefore, for f o g, domain is x ≠ 7 as the function is undefined when x = 7.

So this can be written as (x < 7 or x > 7)  or  {x : x < 7 U x > 7}

i believe the answer is 323 ft

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt