Question

A function f is defined by f (x) = 2x – 3
(i) find f (0) f (1)
2
+ .
(ii) find x such that f (x) = 0.
(iii) find x such that f (x) = x .
(iv) find x such that f (x) = f (1−x) .

Answer 1

Answer:

1)f(0)=2(0)-3=-3

f(1)=2(1)-3=-1

2)if f(x)is zero then f(x)=2x-3

0=2x-3

2x=3

x=3/2

3)if f(x)=x then

x=2x-3

3=2x-x

x=3

4)if f(x)=1-x then

1-x=2x-3

1+3=2x+x

3x=4

x=4/3