Question

A function f is defines 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:

-7/2, -3/2, -3, not possible

Step-by-step explanation:

f(x)=2x-3

i)f(0)+f(1)÷2

=2*0-3 +2*1-3 /2

= -3+ -1/2

= -7/2

ii) 2x-3 =0

   x=-3/2

iii) 2x-3 =x

 2x-3 - x =0

 -x-3=0

x=  -3

iv)2x-3 = 2(x-1)-3

  2x-3 =2x -2 -3

 2x-3=2x-5 is not possible so there is no answer.