Question

1) Determine the domain and range of each function.

a) {(1, 3), (2, 3), (6, 4), (7, 10)}

b) {( 7,0), (2, 0), (-4, 0), (0,0)}




2) Given the following: f(x) = 2x + 4 and g(x) = 3x


A) (f + g) (x) =

B) (fg) (x) =

C) (f ᵒ g) (x) =

D) f -1 (x) =

Can anyone help with these?

Answer 1

For number 1, you should start by looking at the smallest x value and the largest x value. The domain will lie between those values. On the other hand, for range, look at the smallest and largest y values, and the range will lie between those values.

Answer 2

@steve816 i don't know how to do that :(

(also, excuse the bad english of mine)

Answer 3

1)
Domain: -4, 0, 1, 2, 6, 7,
Range: 0, 3, 4, 10

Answer 4

@bluesky15 thanks! but i accidentally made those groups of numbers 1 thing when its actually 2 different groups. can you still help me with it? it'd be greatly appreciated.

Answer 5

Just copy my answer that i gave you. Those numbers are in separate groups already :)

Answer 6

@bluesky15 okay. i think i get it. but on my paper its asking for a separate domain and range for for group a and b. here, theres only one domain and range.

Answer 7

Oh okay
A)
Domain: 1, 2, 6, 7
Range: 3, 4, 10
B)
Domain: -4, 0, 2, 7
Range: 0

Answer 8

@bluesky15 wow, thank you so much. that was very helpful! (p.s. sorry for being so difficult)

Answer 9

You're welcome! Its okay :)

Answer 10

@bluesky15 do you know how to do 2?

Answer 11

Sorry, I can't. I'm not very good at functions.

Answer 12

@bluesky15 its completely fine. lol we got a sub and he gave us 3 questions on something that we've never done before. thanks to you i got one of them in the bag lol

Answer 13

Oh wow. Well you're welcome. Hmu if you ever need help with anything else.

Answer 14

thanks! i have one that involves a graph if you're up for it. should i message it to you? i'm still getting used to using this

Answer 15

No prob. Sure, message me