Question

If f(x) = 2x-5, which expression represents f(x+1)

Answer 1

Answer:  The required expression for f(x+1) is 2x-3.

Step-by-step explanation:  We are given the following function :

$f(x)=2x-5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to find the expression for f(x+1).

To find the expression for f(x+1), we need to substitute x+1 in place of x in (i).

So, we get from expression (i) that

$f(x+1)\\\\=2(x+1)-5\\\\=2x+2-5\\\\=2x-3.$

Thus, the required expression for f(x+1) is 2x-3.

Answer 2

F(x)=2x-5
Insert the value of x which is x+1 ->
F(x+1)= 2(x+1)-5
Distribute ->
F(x+1)=2x+2-5
Then, add like terms->
F(x+1)=2x-3