algebra problems

ThematProblemsareinthefiledownbelow

MAC1105HW#2Find(fOg),(gof), (fOf), and (gOg):1) f(x)=3x+7, g(x)=2x-12) f(x)=x2+2x-2, g(x)=x-23)4)29) X+3y=4; 2x-2y=530) 4x+3y=1; 2x-5y=1231)32) We need to produce 50 Liters of a45 % acid solution. In the Lab weonly have a 30% acid solution and a60% acid solution. How much Litersof each solution must be mixed toobtain the 50 Liters we need?33) The sum of two numbers is 139, buttheir difference is 71. Find thenumbers.34) In a two digits number we knowthat twice the tens digits less threetimes the units digit is 10, but thedifference between the tens andthe units digit is 6. Find thenumber.35) When we add three times anumbers and four times anothernumber the result is 129. But whenwe subtract three times the secondnumber less twice times the firstwe get 33. Find the two numbers. 5)Find the Inverse Function: 6)7)8)9)10)11)f(x)=10x-5, (-f(x)=x2-3, (0,,)) ,,, Solve the equation:12) (23x)(4x-1)=813) (32x-1)(9x)=2714) (16x)(43x-2)=1/6415) (25x-2)(5x-3)=12516) (27x)(9x-2)=1/3417) (23x+3)(4x-2)=1/1618) Log3(x+1)-Log3(x)=119) Log2(4)+Log2(x-1)=220) Log4(x+1)+Log4(x-1)=121) Log3(x)+Log3(x+1)=122) Log6(5x-2)=Log6(2x+3)+Log6(2)23) Log5(x2-2x)=Log5(2)24) Log3(2x-4)=Log3(x-1)+125) 35x+2=526) 42x-1=327) 2x-y=3; 3x+y=528) 4x-5y=1; x-y=9 MAC1105 HW # 2
Find (fog), (gof), (fof), and (Og):

1) f(x)=3x+7, g(x)=2x-1

2) f(x)=x²+2x-2, g(x)=x-2
3) f(x) = V5x – 3,g(x) = 2×2
4) f(x) = *9(x) =
5) f(x) = 2+2,9(x) = 21
Find the Inverse Function:

29) X+3y=4; 2x-2y=5
30) 4x+3y=1; 2x-5y=12

31)x – y = y-**=3

32) We need to produce 50 Liters of a
45 % acid solution. In the Lab we
only have a 30% acid solution and a
60% acid solution. How much Liters
of each solution must be mixed to
obtain the 50 Liters we need?

33) The sum of two numbers is 139, but
their difference is 71. Find the
numbers.

34) In a two digits number we know
that twice the tens digits less three
times the units digit is 10, but the
difference between the tens and
the units digit is 6. Find the
number.

35) When we add three times a
numbers and four times another
number the result is 129. But when
we subtract three times the second
number less twice times the first
we get 33. Find the two numbers.

6) f(x)=10x-5, (-00,00

)

7) f(x)=x²-3, (0,00)
8) f(x) = v4x – 3, (8,0)
9) f(x) = **3
2-3′
10) f(x) = 1 * = -1
11)f(x) = x2 – 4x + 4,[2,00)
3x-5

Solve the equation:

12) (234)(4*-1)=8
13) (32-1)(9*)=27
14) (16*)(43-2)=1/64
15) (25*-7)(5*-*)=125
16) (27*)(9*2)=1/34
17) (23x+3)(4*2)=1/16
18) Log3(x+1)-Log:(x)=1
19) Logz(4)+Log2(x-1)=2
20) Log(x+1)+Loge(x-1)=1
21) Log(x)+Log3(x+1)=1
22) Logo(5x-2)=Logo(2x+3)+Logo(2)
23) Logs(x?-2x)=Log (2)
24) Log3(2x-4)=Log3(x-1)+1
25) 35x+2-5
26) 42-1-3
27) 2x-y=3; 3x+y=5
28) 4x-5y=1; x-y=9