Question

The function g is defined as g(x) = ax + b where a and b are constants.
If g(2) = 3 and g(-3) = 13, find the values of a and b.​

Answer 1

Answer:

a=(-2), b=7

Step-by-step explanation:

g(x)=ax+b

g(2)=a(2)+b

3=2a+b--eq1

g(x)=ax+b

g(-3)=a(-3)+b

13=-3a+b--eq2

Add eq1 and eq2, we get

-5a=10

a=10/-5

a=(-2)

Substituting a=(-2) in eq1

2a+b=3

2(-2)+b=3

(-4)+b=3

b=3+4

b=7

Therefore the value of a and b is (-2) and 7.