## Related questions with answers

Question

If f(x) defines a constant function over $(-\infty, \infty)$, how many elements are in the range of $(f \circ f)(x)$?

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Knowing that $f(x)$ be a constant function:

$\text{Let}~f(x)=c$

Where $c$ is a constant, we will find $(f\cdot f)(x)$:

$\begin{aligned} (f\cdot f)(x)&=f(f(x))\\ &=f(c) \end{aligned}$

In here $c$ is only one element in ranged of $(f\cdot f)(x)$. Therefore, there will be single element in range of $(f\cdot f)(x)$ if f(x) be a constant.

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### A Graphical Approach to Precalculus with Limits

6th Edition•ISBN: 9780321900821Gary K. Rockswold, John Hornsby, Margaret L. Lial2,408 solutions

#### Precalculus: Mathematics for Calculus

7th Edition•ISBN: 9781305071759 (2 more)Lothar Redlin, Stewart, Watson9,606 solutions

## More related questions

1/4

1/7