Find the indicated values, where

Question

asked Aug 1, 2020 26.6k views

2 Answers

Karadayi · Answer 1 · 2020-08-02T02:23:02+0000

A.

Firstly, you should deal with the inner function.

1^2 - 1 = 0

And

2 x 0 = 0

So 2g(1) = 0

Applying the outer function:

0 + 1 = 1

Matthew Riches · Answer 2 · 2020-08-06T19:29:54+0000

For this case we have, that given two functions f (x) and g (x), then:

The composite function of f with g is:
(gof) (x) = g [f (x)]

The function composed of g with f is:
(fog) (x) = f [g (x)]

In this case we have:

$f (x) = 1 + x\\g (t) = t ^ 2-1$

First we solve g (1):

g (1) = 1 ^ 2-1 = 0

Now:

2 * g (1) = 2 * 0 = 0

Then we have left:

f (0) = 1 + 0 = 1

So, we have to:

f (2g (1)) = 1

Answer:

Option A