please someone help me with these problems its for precalcul

please someone help me with these problems. its for precalculus

Wk11-hw2 You must be able to ALGEBRAICALLY solve & GRAPHICALLY justity solutions for the tollowing types of problems The fest s problems are also TOP HAT questions. Your wk11-hw2 TOP HAT points will be counted as your WEEKa11 quiz grade Do these problems tor practice and discussion during Friday\'s class Top Hat wk1-hw2 grade will be your QURZ GRADE for wk.11. Remember, you can submit as muly n dy so f youredoarolom and fnd you made a 1.1 Determine the ZEROSof yLts mony times as you want to up to 1 1.1 Determine tu?EROSof y=- x+2 2. | Determine the DOMAIN of y = log Determine the exact and estimated values of x that make the given equation true: When solving algebraically, does the given equation have extraneous roots? If so, 4. list iUthem? e2x-4e* = 45 what is the AVERAGE RATE OF CHANGE from x--6 to x = 3 on the function 5. given y log(x +7) Further problems for practice and discussion during Friday\'s REVIEW PAY

Solution

1) zeros of y =(x+5) /(x+2)

plug y=0

then 0 =(x+5) /(x+2)

(x+5) =0(x+2)

(x+5) =0

so x=-5

at x=-5 we have a zero

2). domain of y = log(x+5 /x+2)

so (x+5) /(x+2) >0

(x+5) >0

x>-5

domain :(-5 , infinite)

3) e^2x -4e^x +45=0

let e^x = a then e^2x = a^2

so a^2 -4a -45=0

a^2 -9a+5a-45=0

a(a-9)+5(a-9)=0

(a+5)(a-9) =0

so a =-5 or a=9

e^x =-5

x = -ln(5) or x = ln(9)

4). same one mentioned above

5).

y = log(x+7)

y value at x=-6

y = log(-6+7)

y=log1 =0

y value at x=3

y = log10 =1

so dy/dx = 1-0/3-(-6) = 1/9

so average rate of change = 1/9