Question

If f(x) = x + 4 and g(x) = 2x - 3, find (g - f)(2).

Answer 1

\( (g-f)(2) = g(2) - f(2)\)
Can you do the next step?

Answer 2

No .. im sorry i really dont know this . @OneMathCat

Answer 3

\(g(x) = 2x - 3\)
\(g(2) = 2\cdot 2 - 3\)
Do you see the pattern?

Answer 4

@ onemathcat, you have to be careful with the way you explain things. Let's assume the user understands everything you explain to her , but then she goes to school the next day, and even though She has the correct Answer and all the steps, the teacher proceeds to ask her,
What is (g-f)(x)? With your limited explanation, she may not be able to answer the teacher's question.

Answer 5

this is an online class , she doesnt ask anything . Thank you for saying that though @Hero . I dont understand though ..

Answer 6

@Hero
Hi ... I certainly wasn't intending to stop there! But, there was no one in sight ... evidently the user had gone offline. What is the recommendation at that point? Should you then type out the complete answer? I know the code of honor is certainly NOT just to give the answer...

Answer 7

Not every student here is taking online classes.

Answer 8

but i am , and i still dont understand ..

Answer 9

What gm trying to suggest here is to Compute (g-f)(x) first before computing (g-f)(2)

Answer 10

When you see \(g(x) = 2x - 3\), it's what is called "function notation".
Think of it this way: g(blah) = 2(blah) - 3.
So:
g(1) = 2(1) - 3
g(2) = 2(2) - 3
g(10.7) = 2(10.7) - 3
Are you seeing the pattern?

Answer 11

where did 1 come from ?

Answer 12

and 2?

Answer 13

@Hero
I'm happy to have you take over. No problem. Have a great day!

Answer 14

I don't want to takeover.

Answer 15

did someone get 2x+2 ??

Answer 16

@Hero

Answer 17

Explain how you got 2x+2

Answer 18

2x-3 - 4x+4 which gave me x+1 and i multiplied that by 2

Answer 19

Somehow you've managed to confuse yourself

Answer 20

but thats what it said right