Question

The function g is defined by g(x) = 1+3x / 4+x
Find g(x+1)​

Answer 1

`(3x+4)/(x+5)`

Explanation:

so, they're asking you to plug in (x+1) as x into the equation

it would look something like this

`(1+3(x+1))/(4+(x+1))`

now, you just simplify it down,,

let's simplify the numerator first

1+3(x+1) (distribute 3 into x+1)

1+3x+3 (combine like terms)

3x+4

simplify the denominator

4+x+1 (combine like terms)

x+5

this is the result, we cannot simplify any more

`(3x+4)/(x+5)`