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Let f(x) = |x|, ????(x) = 2f(x), and h(x) = 1 / 2 f(x) for any real number x.

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

1 Answer

2 votes

Answer:

g(x) = 2|x|

h(x) =
(1)/(2)|x|

Explanation:

If you have g(x)=2f(x) and h(x)=
(1)/(2)f(x), you can rewrite the expressions in terms of |x| as the following:

- For g(x)=2f(x) you have:

g(x) = 2|x|

-For h(x)=
(1)/(2)f(x), you have:

h(x) =
(1)/(2)|x|

User Gwen Au
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