How do you find the range from an undefined graph?

Question

How do you find the range from an undefined graph?

The function: $f (x) = log (x^{2} + 6 x + 9)$ $f(x)= log(x^2 +6x +9)$ has a point of ( $- 3$ $-3$ , undefined) in its graph. How do you find the range?

Is the domain ${x e R}$ ${xeR}$ ?

1 Answer

Impact of this question

3621 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-24T21:35:36

The domain of this function is $D_{f} : x \in R - {- 3}$ $D_f : x ∈R-{-3}$ The range of this function is $R_{f} : f (x) \in (- \infty, \infty)$ $R_f : f(x) ∈ (-∞,∞)$

Explanation:

We can see that the the function $g (x) = (x^{2} + 6 x + 9)$ $g(x)=(x^2 + 6x + 9 )$ attains all the values from $(0, \infty)$ $(0,∞)$ which is the Domain for the outer logarithmic function, thus it attains all the values which are attained by the function $f (x) = {log}_{10} x$ $f(x) = log_10x$ .

The Range of $g (x)$ $g(x)$ acts as the Domain of $f (x)$ $f(x)$ .

$:. R_f : f(x) ∈ (-∞,∞)$

The graph of the function $f(x)$ is given below :-

GeoGebra Classic app

Science

Math

Humanities

... and beyond

How do you find the range from an undefined graph?

The function: $f (x) = log (x^{2} + 6 x + 9)$ $f(x)= log(x^2 +6x +9)$ has a point of ( $- 3$ $-3$ , undefined) in its graph. How do you find the range?

Is the domain ${x e R}$ ${xeR}$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you find the range from an undefined graph?

The function: f(x)= log(x^2 +6x +9)f(x)=log(x2+6x+9)f(x)= log(x^2 +6x +9) has a point of (-3−3-3, undefined) in its graph. How do you find the range? Is the domain {xeR}{xeR}{xeR} ?

1 Answer

Explanation:

Related questions

Impact of this question

The function: $f (x) = log (x^{2} + 6 x + 9)$ $f(x)= log(x^2 +6x +9)$ has a point of ( $- 3$ $-3$ , undefined) in its graph. How do you find the range?

Is the domain ${x e R}$ ${xeR}$ ?