Question

If f(x) = -3x +4 and g(x) = 2, solve for the value of x for
which (fx) = g(x) is true.​

Answer 1

`x=-(2)/(3)`

Step-by-step explanation:

Let:

`f(x)=-3x+4\\\\And\\\\g(x)=2`

We need to know for which value of
`x` the function
`f(x)` is equal to
`g(x)`:

`f(x)=g(x)`

Therefore, we need to solve for the previous equation for
`x`:

Replacing the values of
`f(x)` and
`g(x)`:

`-3x+4=2`

Subtract 4 from both sides:

`-3x+4-4=2-4\\\\-3x=-2`

Multiply both sides by -1

`-3x(-1)=-2(-1)\\\\3x=2`

Divide both sides by 3:

`(3x)/(3) =(2)/(3) \\\\x=(2)/(3)`

Therefore the value of
`x` for which
`f(x)=g(x)` is
`x=(2)/(3)`.

Verify the result:

`-3((2)/(3) )+4=2\\\\-2+4=2\\\\2=2`