The answer is d (2)
because g(2) = 2(2) - 3 = 1 and f(2) = 1 (see the table)
Hence, the input value that produces the same output for the functions represented by the tables is:
x=2
We are given a function f(x) and g(x) as:
[tex]f(x)=-0.5x+2[/tex] and [tex]g(x)=2x-3[/tex]
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
