Question

Let f(x) = |x|, ????????(x) = f(x − 3), and h(x) = f(x + 2), where x can be any real number.

a. Write the formula for ????(x) in terms of |x| (i.e., without using f(x) notation).
b. Write the formula for h(x) in terms of |x| (i.e., without using f(x) notation).

Answer 1

g(x)= |x-3|

h(x) = |x+2|

Explanation:

1. Let g(x)=f(x-3), we can write the function in terms of |x| as:

g(x)= |x-3|

2. Let h(x)=f(x+2), the function can be rewrite in terms of |x| as:

h(x) = |x+2|