Question

If f(x) = px + q, where p, q € Z and f{2)=5, f(3)=-3 then the value
of p and q is

Answer 1

Answer:

p = -8

q = 21

Step-by-step explanation:

f(x) = px+q  -->(1)

given that f(2) = 5,

so substitute f(2) in (1) [ f(x) is 5, x is 2]

5 = 2p+q --> (2)

similarly, given that f(3) = -3,

so substitute f(3) in (1) [f(x) is -3, x is 3]

-3 = 3p+q --> (3)

now solve (2) and (3)

2p + q = 5

3p + q = -3

-------------------

sub q from (2) in (3)

3p + 5 - 2p = -3

p + 5 = -3

p = -8 //

sub p value in (2)

2(-8) + q = 5

-16+q = 5

q = 21 //

to verify sub p and q in (3)

3(-8) + 21

= -24+21

= -3

hence RHS