Let gx2x12 Evaluate g17 Evaluate g110 Determine the value of

Let g(x)=2(x-12), Evaluate g^-1(7)= Evaluate g^-1(10)= Determine the value of y so that g^-1(y)=17.5. Determine the value of b so that g^-1(g(b)=4pi. Determine g(g^-1(202)))=

Solution

a) g(x)=2(x-12)

2(x-12)=7

x -12=7/2

x =12+(7/2)

x =31/2

g^-1(7)=31/2

b)2(x-12)=10

x-12=5

x =12+5

x =17

g^-1(10)=17

c)g^-1(y)=17.5

y =g(17.5)

y=2(17.5-12)

y =11

d)g^-1g(b)=4pi

g(b)=g(4pi)

b =4pi

e)g(g^-1(202))

=202