Question

if f(x) =-2+8 and g(x) = square root of x+9 which statement is true

Answer 1

The statement that -6 is in the domain of f(g(x)) is true

Complete question

If f(x) = -2x + 8 and g(x) = $\sqrt{x + 9$, which statement is true?

• -6 is in the domain of f(g(x))
• -6 is not in the domain of f(g(x))

How to determine the true statement?

We have:

f(x) = -2x + 8

$g(x) = \sqrt{x + 9$

Start by calculating the function f(g(x)) using:

f(g(x)) = -2g(x) + 8

Substitute $g(x) = \sqrt{x + 9$

$f(g(x)) = -2\sqrt{x + 9} + 8$

Set the radicand to at least 0

$x + 9 \ge 0$

Subtract 9 from both sides

$x \ge -9$

This means that the domain of f(g(x)) are real numbers greater than or equal to -9. i.e. -9, -8, -7, -6, ...........

Hence, the statement that -6 is in the domain of f(g(x)) is true

Read more about domain at:

https://brainly.com/question/24539784

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