Answer to Question #310140 in Algebra for Justin

Question

For the function f (x)= 1-(1)/(x+2)^(2),find the following:

(i)f(-x) (ii)f(x +k)

Answer 1

The function has the following form: $f(x)=1-\frac{1}{(x+2)^2}$.

(i) Substitute $-x$ into the expression for function $f(x):$ $f(-x)=1-\frac{1}{(2-x)^2}$;

(ii) Substitute $x+k$ into the expression for the function $f(x):$ $f(x+k)=1-\frac{1}{(x+k+2)^2}$