Use the functions given below to determine the output for th

Use the functions given below to determine the output for the specified input value. If there are multiple answers separate values with a comma. PM = |s + 2| Suppose p(s) = 3. What is/are the corresponding value(s) of s ? Suppose p(s) = 11.2. What is/are the corresponding value(s) of s ? What is the domain of the function p ? Express your answer using interval notation. What is the range of the function p ? Express your answer using interval notation. m(t) = Squareroot2t + 10 Suppose m{t) = 3. What is/are the corresponding value(s) of t ? Suppose m(t) = 6. What is/are the corresponding value(s) of t ?

Solution

a)p(s)=|s+2|

i)p(s)=3

|s+2|=3

s+2=-3,s+2=3

s=-3-2,s=3-2

s=-5,s=1

ii)p(s)=11.2

|s+2|=11.2

s+2=-11.2,s+2=11.2

s=-11.2-2,s=11.2-2

s=-13.2,s=9.2

iii)domain (-,)

iv)range [2,)

b)

i)m(t)=3

(2t +10) =3

2t +10=3²

2t +10=9

2t =9-10

2t =-1

t=-1/2

ii)

m(t)=6

(2t +10) =6

2t +10=6²

2t +10=36

2t =36-10

2t =26

t=13

iii)2t+10>=0

2t>=-10

t>=-5

domain (-5,)

iv)range=[0,)