Question

F(x) = 3x + 1; g(x) = 5x - 1
Find f/g. (1 point)

Answer 1

f/g = (3x+1)/(5x-1)

x ≠1/5

Explanation:

f(x) = 3x + 1; g(x) = 5x - 1

We are asked to divide the expressions.

f/g = 3x+1

-----------

5x-1

The denominator cannot equal zero so

5x-1≠0

Add 1 to each side

5x -1+1 ≠1

5x ≠1

Divide by 5

5x/5 ≠1/5

x ≠1/5

Answer 2

`(f)/(g) =(3x+1)/(5x-1)`

`x\\eq (1)/(5)`

Explanation:

we are given

`f(x)=3x+1`

`g(x)=5x-1`

we have to find f/g

we can write as

`(f)/(g) =(f(x))/(g(x))`

now, we can plug values

and we get

`(f(x))/(g(x)) =(3x+1)/(5x-1)`

so,

`(f)/(g) =(3x+1)/(5x-1)`

we know that denominator can not be zero

so,

`5x-1\\eq 0`

now, we can solve for x

`5x-1+1\\eq 0+1`

`5x\\eq 1`

Divide both sides by 5

and we get

`x\\eq (1)/(5)`