Question

given f(x) =2x-x^2 then find f(1) and f(x+1)

Answer 1

Answer:

f(x)=1 for x =1

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

Answer 2

Answer:

f(1)=1.. x=-3,-1

Step-by-step explanation:

f(x)=2x-x^2

f(1)=2(1)-1^2

f(1)=2-1

f(1)=1

f(x+1)=2(x+1)-(x+1)^2

f(x+1)=2x+2-x^2+1+2x

f(x+1)=4x+3+x^2

f(x+1)=x^2+4x+3

f(x+1)=x^2+3x+x+3

f(x+1)=x(x+3)+1(x+3)

f(x+1)=(x+3)(x+1)

x=-3,-1