Question

If f(x) = 3x + 2 and g(x) = 2x – 2, what is (f – g)(x)?
x + 4
x – 2
x
5x – 2

x – 4

Answer 1

example If F(x)=3x-2 and g(x)= 2x-1, then g(f(x)) is equal to what?

Answer 2

I need help
I don't know how to do this

Answer 3

g(f(x)) means that the function g is composed at the function f.
You need to plug the value of f(x) into the function g and simplify.
g(x) = 2x - 1
Replace x with the value of f(x) which is 3x - 2 and simplify.


g(f(x)) = 2x - 1
g(3x - 2) = 2(3x - 2) - 1
g(3x - 2) = 6x - 4 - 1
g(3x - 2) = 6x - 5
So, g(f(x)) = 6x - 5

Answer 4

theres an example dont want to give it out

Answer 5

without learning

Answer 6

nothing

Answer 7

so what is it? can u take me through the steps

Answer 8

If f(x)=3x^2+1 and g(x)=2x+2 find a) g^-1(x), the inverse of g(x) b) (fog^-1)(2)

Answer 9

If g(x) = 2x + 2, this means it takes an input value, doubles it, and then adds 2. The inverse will do the opposite, in the opposite order.

So the inverse will first do the opposite of adding 2, so it subtracts 2, or x - 2. Then it does the opposite of multiplying, by dividing by 2, so (x-2) / 2.

So g-1(x)= (x-2) / 2.

To find (fog-1)(2), you start by putting 2 into g inverse for x . So g-1(2) = (2-2) /2 , so zero. Then, we put 0 into f, so f(0) = 3(0)2 + 1, so (fog-1)(2) = 1. Hope that helped.

Answer 10

great explanation :)

Answer 11

but what is the answer

Answer 12

\[(f-g)(x)=f(x)-g(x)\]
\[\therefore (f-g)(x)=(3x-2)-(2x-2)\]
\[=3x-2-2x+2\]
\[=3x-2x+2-2\]
\[=x+0\]
\[\therefore (f-g)(x)=x\]

Answer 13

so it is x=0 right

Answer 14

answer is x

Answer 15

thanks

Answer 16

cheers!

Answer 17

If f(x) = 2x2 + 3x and g(x) = x – 2, what is (f + g)(2)?
16
14
12

10

8

Answer 18

it is 14 right