Post University Converting Between Logarithmic and Exponential Form Questions

its a 19 question test with some multiple parts …………………….

Evaluate (fog)(9) without finding an equation for the function.
f(x) = -5x – 14 g(x)= – 3x-9
(fog)(9)=(Simplify your answer.)
Evaluate (fog)(9) without finding an equation for the function.
f(x) = -5x – 14
g(x) = – 3x-9
(fog)(9) = 45 (Simplify your answer.)
Х
X That’s incorrect
166
Correct answer
Your answer:
45
Similar Question
OK
nt
and A = Pert, to solve. Round answers to the
Use the compound interest formulas, A = P(1+
nearest cent.
Suppose that you have $6000 to invest. Which investment yields the greater return over 4 years: 8.25%
compounded quarterly or 8.3% compounded semiannually?
Evaluate (fog)(-4) without finding an equation for the function.
f(x) = 9x+2 g(x) = 6x + 4
(fog)(-4)=(Simplify your answer.)
Approximate the number using a calculator.
-0.11
-0.11
2
(Round to three decimal places.)
nt
Use the compound interest formulas, A=P
and A = Peto solve the following problem.
Find the accumulated value of an investment of $10,000 for 6 years at an interest rate of 5.5% if the money is a. compounded semiannually; b.
compounded monthly; c. compounded continuously.
a. What is the accumulated value, if the money is compounded semiannually?
(Round your answer to the nearest cent.)
b. What is the accumulated value, if the money is compounded monthly?
(Round your answer to the nearest cent.)
c. What is the accumulated value, if the money is compounded continuously?
(Round your answer to the nearest cent.)
Graph the given function by making a table of coordinates.
f(x) = 4*
х
Complete the table of coordinates.
-2 -1 0 1 2
y
(Type integers or fractions. Simplify your answers.)
Choose the correct graph below.
OA.
O B.
OC.
OD.
AY
2-
1-
a
a
a
a
20
15
10
5
20-
15
10
2-
1-
-1-
5 10 15
-3-2-1
–
-3-2-1
1 2 3
90
The function f(x)=
models the percentage, f(x), of people x years old with a certain disease. Use this function and a calculator with
1 + 270 e
– 0.122x
an e key to evaluate f(73) and describe what this answer means in practical terms.
f(73) -% (Round to one decimal place.)
In practical terms, this means the following.
About % of-year-olds have the disease.
For f(x) = 4x – 3 and g(x) = 6×2 – 1 find the following
a. (fog)(x) b. (gof)(x) c. (fog)(2)
a. What is (fog)(x)?
(fog)(x)=(Simplify your answer.)
b. What is (gof)(x)?
(gof)(x) = (Simplify your answer.)
c. What is (fog)(2)?
(fog)(2)=(Simplify your answer.)
Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other.
x-5
f(x) = 5x + 5 and g(x) =
5
a. f(g(x)) =
(Simplify your answer.)
b. g(f(x)) = (Simplify your answer.)
c.
fand g are inverses of each other.
O fand g are not inverses of each other.
Find the inverse of the one-to-one function.
f(x) = 9x + 1
f'(x)=0
(Use integers or fractions for any numbers in the expression.)
Find the inverse of the one-to-one function.
f(x) = x3 – 7
f'(x)=0
(Use integers or fractions for any numbers in the expression.)
Does the graph represent a function that has an inverse function?
$
Choose the correct answer below.
O No
Yes
Write the equation in its equivalent exponential form.
3 = log216
What is the equivalent exponential form of the equation?
Write the equation in its equivalent logarithmic form.
62 = 36
The logarithmic form is
(Use integers or fractions for any numbers in the expression.)
Evaluate the expression without using a calculator.
1
log 7 49
1
log 7 49
11
Evaluate the expression without using a calculator.
log 338
log 338 =
Evaluate the following expression without using a calculator.
log 33
8
log 33
8
=
Evaluate the expression without using a calculator.
log 1,000,000
log 1,000,000 =
Evaluate the expression without using a calculator.
In e5
In e
5
11
Evaluate or simplify the expression without using a calculator.
In 124
e In 124
–