Question

Sara wants to find the input value that produces the same output for the functions represented by the tables. What is the input value that produces the same output value in both charts?

a) –2
b) –1
c) 1
d) 2

Answer 1

The answer is d (2)

because g(2) = 2(2) - 3 = 1 and f(2) = 1 (see the table)

Answer 2

Hence, the input value that produces the same output for the functions represented by the tables is:

x=2

Explanation:

We are given a function f(x) and g(x) as:

`f(x)=-0.5x+2` and
`g(x)=2x-3`

Clearly the function g(x) and f(x) are linear function.

We have to find such input value that gives the same output value for the function.

i.e. we have to find x such that:

g(x)=f(x)

i.e. -0.5x+2=2x-3

⇒ 2x+0.5x=2+3

⇒ 2.5x=5

⇒ x=5/2.5

⇒ x=2

Hence, the input value that produces the same output for the functions represented by the tables is:

x=2