Question

Let f(x) = - 4x + 5. Find and simplify f(x + 2).

Answer 1

f(x+2)=-4x-3

Explanation:

We are given:

`f(x)= -4x+5`

and asked to find f(x+2). Therefore, we must substitute x+2 for each x in the function.

`f(x+2)=-4(x+2)+5`

Now, simplify. First, distribute the -4. Multiply each term inside the parentheses by -4.

`f(x+2)=(-4*x)+(-4*2)+5\\f(x+2)=-4x+(-4*2)+5\\f(x+2)=-4x-8+5`

Next, combine like terms. There are 2 constants (terms without a variable) that can be added. Add -8 and 5.

`f(x+2)=-4x(-8+5)\\f(x+2)=-4x-3`

f(x+2) is -4x-3.

Answer 2

-4x - 3.

Explanation:

f(x) = -4x + 5.

f(x + 2) = -4(x + 2) + 5

= -4x - 8 + 5

= -4x - 3.

Hope this helps!