Answer:
f(x+2)=-4x-3
Step-by-step explanation:
We are given:
[tex]f(x)= -4x+5[/tex]
and asked to find f(x+2). Therefore, we must substitute x+2 for each x in the function.
[tex]f(x+2)=-4(x+2)+5[/tex]
Now, simplify. First, distribute the -4. Multiply each term inside the parentheses by -4.
[tex]f(x+2)=(-4*x)+(-4*2)+5\\f(x+2)=-4x+(-4*2)+5\\f(x+2)=-4x-8+5[/tex]
Next, combine like terms. There are 2 constants (terms without a variable) that can be added. Add -8 and 5.
[tex]f(x+2)=-4x(-8+5)\\f(x+2)=-4x-3[/tex]
f(x+2) is -4x-3.
