7. log 1000 (0.001 v0.001)
choose the correct answer by showing your steps
8. if for two real numbersx and yok" =then which of the following is true?
a. 2x=y
b. = 2
c. y = x2
d. y = x
9. if log x = -0.7321, then which of the following is true?
a.
x = antilog( 0.2679)
10
the characteristic of log xis-2
the mantissa of log x is 0.7321
x < 0.1
d.
10.
for a > 0 and a # 1, which of the following is not true about f(x) = a*, and
g(x) = loga x?
a. the domain of f(x) is the same as the range of g(x)
b. if a > 1 both f(x) and g(x) are increasing
c. they are inverse function of each other
d. for x > 0 both f(x)and g(x) are greater than 1

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

asnwer is (g o h o f)(x) = 2x - 6/x + 7

step-by-step explanation:

given,

f(x) = x - 3/x

g(x) = x + 3

h(x) = 2x + 1

we need to find : (g o h o f)(x)

we can write (g o h o f)(x) = g[ h{ f(x) } ]

so first we find h{f(x)}

h{f(x)} = f(x) + 3 = (x - 3/x) + 3

h{f(x)} = x - 3/x + 3

now we find g[ h{ f(x) } ].

g[ h{ f(x) } ] = g(x - 3/x + 3)       {plug h{f(x)} = x - 3/x + 3 in g[h{f(x)}] }

g(x - 3/x + 3) = 2 (x - 3/x + 3) + 1

                    = 2x - 6/x + 6 + 1

                    = 2x - 6/x + 7

hence we get (g o h o f)(x) = 2x - 6/x + 7