3 Let fz F fx Find a function gz that is f stretched verti

3/ Let f(z) =-F f(x) = . Find a function g(z) that is f stretched vertically by a r-1 factor of 5, then shifted left 8 and up 13. g(z) =

3. f(x) = 2/(x-1)

g(x) ----f stretched verticaly by a factor 5

5(2/(x-1) )

Shfited left by 8

5(2/(x-1 +8) ) = 5(2/(x+ 7) )

shifted up by 13

5(2/(x+ 7) ) = 10/( x+7) +13

g(x) = 10/( x+7) +13

4. h(x) = 2x^3 +4

y = 2x^3 +4

find inverse h^-1(x)

Plug x= y and y=x in h(x)

x= 2y^3 +4

2y^3 = ( x-4)

y^3 = ( x-4)/2

y = { ( x-4)/2}^1/3

h^-1(x) = { ( x-4)/2}^1/3

5. f(x) = 7/( x-5) and g(x) = 1/(x-2)

(f /g)(x) = divide both functions

( f/g) (x) = 7(x-2)/ ( x-5)