PLEASE HELP! If f(x) and g(x) are inverse functions of each other, which of the following statements is true?

Mathematics

1 answer:

ruslelena [56]3 years ago

4 0

Answer:

(g•f)(x) = x.

Step-by-step explanation:

Let $f(x) = x^{2} + 1$ , then the inverse function of the f(x) is $g(x) = \sqrt{x - 1}$

So, (g•f)(x) = $g[f(x)] = g(x^{2} + 1 ) = \sqrt{(x^{2} + 1) - 1} = \sqrt{x^{2} } = x$

Therefore, we can write if f(x) and g(x) are inverse functions of each other, then (g•f)(x) = x.

Hence, option D is correct. (Answer)

You might be interested in

Number 3 please!!! Best answer I will mark as brainliest

wolverine [178]

A real world problem is considered a problem that can either be A: Solved in any method. B:has words and numbers So you would write for instant Charlie went to the store he bought 7 items that costed 21.99 how much money does he have left after spending it on the items? Can you solve it no you cannot why? Because it doesnt have the amount of money he was allowed to spend thats what missing information is. Now extra information is when there is something in the problem you DO NOT NEED to solve. Hope that helps you out.

3 0

3 years ago

The length of a rectangle is 4 m less than the diagonal and the width is 5 m less than the diagonal. If the area is 82 m^2, how

nikklg [1K]

I hate rounding.

Let's call the diagonal x. It's the hypotenuse of the right triangle whose legs are the rectangle sides.

According to the problem we have a length x-4 and a width x-5 and an area

82 = (x-4)(x-5)

82 = x^2 - 9x + 20

0 = x^2 - 9x - 62

That one doesn't seem to factor so we go to the quadratic formula

$x = \frac 1 2(9 \pm \sqrt{9^2-4(62)}) = \frac 1 2(9 \pm \sqrt{329})$