Question

Suppose that the functions g and f are defined as follows.
HELP PLEASE

Answer 1

a).
`-(1)/(2)`

b). x ≠ 1.5

Explanation:

g(x) = (x - 3)(x - 3)

f(x) = -4x + 6

a).
`((g)/(f))(x)=((x-3)(x-3))/(-4x+6)`

`=(x^2-6x+9)/(-4x+6)`

`((g)/(f))(2)=(2^2-6(2)+9)/(-4(2)+6)`

`=(4-12+9)/(-8+6)`

`=(1)/(-2)`

`=-(1)/(2)`

b). Function
`((g)/(f))(x)` is defined when denominator is equal to zero.

-4x + 6 ≠ 0

4x ≠ 6

x ≠
`(6)/(4)`

x ≠ 1.5