Please answer the questions that are shown in the attached file with clear steps. Thanks !
MATH105
14. Find the domain.
1
f(x) =
15x – 61
Choose the correct domain below.
D
A.
5
Vi
B.
{arx is a real number and we
{x|x < - or x> ਨੂੰ
C.
D. all real numbers
15. Write an equation of the line containing the given point and perpendicular to the given line.
(3,-2): 4x + 3y = 5
The equation of the line is y =
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the
expression.)
16. Solve the following inequality.
(9y + 3) – 13 < -
(6y -9)
Select the correct choice below and fill in the answer box to complete your choice.
A. The solution set is {yly a
B. The solution set is {yly
C. The solution set is {ylys
D. The solution set is {yly<
}
}
}
17. Convert to a logarithmic equation.
Complete the equivalent logarithmic equation.
4112 = 2
log 4
(Type integers or fractions.)
18. Solve for x.
log x + log (x-21) = 2
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution(s) is/are x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
B. There is no solution.
19. Solve.
The solution is x=
log 24 = x
20. Solve the equation.
315-51-7x-8)] = 105x + 135
What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your one
choice.
A. The solution is x=
· (Type an integer or a simplified fraction.)
B. The solution is all real numbers.
C. There is no solution.
21. Multiply and simplify
y? - 2y - 15 16y3 – 817
4y3 - 92
5y - 25
The simplified product is
22. Solve for x.
log 6(X + 8) + log 6(x - 8) = 2
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution(s) is/are x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
B. There is no solution.
23. Write an equation of the line containing the given point and parallel to the given line.
(6,-3); 5x - y = 7
The equation of the line is y =
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the
expression.)
24. Solve.
2/x + 71 56
Select the correct choice below and fill in the answer boxes to complete your choice.
sxs
(Simplify your answers.)
A. The solution set is {* 1
B. The solution set is {x \x5
C. The solution set is {x 1
D. The solution set is {* /* <
or x
}
}
25. Solve.
The solution is x =
(Type an integer or a simplified fraction.)
log 2x = -3
26. Solve the following inequality.
4[6 - 6(2 - x)] – 122[5(4x - 1) + 8] - 43
Select the correct choice below and fill in the answer box to complete your choice.
A. The solution set is {x\xs
B. The solution set is {x}* *
C. The solution set is {xlx<
D. The solution set is {xlx 2
}
}
}
}.
27. Solve.
17x - 71 516
Select the correct choice below and fill in the answer boxes to complete your choice.
sxs
(Simplify your answers.)
A. The solution set is {x 1
B. The solution set is {* \**
C. The solution set is {x 1
D. The solution set is {\x=
}.
or X >
0)
C. {x 1 x is a real number and x # 9}
B. {1 x is a real number}
D. {* 1 x is a real number and x # 0}
30. Solve for x.
log x-log(x + 4) = -1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution(s) is/are x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
B. There is no solution.
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