Question

3. Find the values of the constants in each of the following:

(1) f(x) = ax + b, a and b are constants, f2) = 7,f(1) = -1​

Answer 1

9514 1404 393

Answer:

a = 8; b = -9

Explanation:

Filling in the given values gives you two equations.

7 = a(2) +b

-1 = a(1) +b

Subtracting the second equation from the first gives ...

(7) -(-1) = (2a +b) -(a +b)

8 = a . . . . . simplify

Using this value in the first equation gives ...

7 = (8)(2) +b

b = 7 -16 = -9

The constants are a = 8, b = -9.