Question

10. 10 points. - Find the domain and range f with the following ordered pairs {(-2, -3),(-4,0), (5,3), (6,2), (2, 2)}. Then find / -'() 11. 10 points. - Find the inverse function of f(x) = -3x + 6

Answer 1

In this question given ordered pairs are

{ (-2,-3),(-4, 0), (5, 3), (6,2), (2, 0.5)}

Here

The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates).

So Domain ( - 2, - 4, 5, 6, 2)

Range ( - 3, 0,3,2, 0.5)

Here

The inverse of a function is the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function.

So inverse is ={(-3,-2), (0, - 4), ( 3, 5), ( 2, 6), (. 5,2)}.

Here Domain and Range also interchange

2 question

Function F(x) = y = - 3x + 6

For inverse reverse the x, y coordinates then find y in term of x.

So x =-3y +6

From above y = (-x/3) +2

So inverse of function is =(-x/3) +2