Question

RES

Find (fºg)(1)
Ax) = x2 - 1
g(x)= v
a 0
c. 4.
b.
d. 18
Help pls

Answer 1

Yea The answer is A 0

Answer 2

A

Explanation:

So we have the two functions:

`f(x)=x^2-1\\g(x)=\sqrt x`

And we want to find:

`(f\circ g)(1)`

This is the same as:

`f(g(1))`

So, to find the answer, find g(1) first:

`g(x)=\sqrt x\\g(1)=\sqrt1\\g(1)=1`

Now, substitute this value for g(1):

`f(g(1))\\=f(1)`

And plug this into f(x):

`f(x)=x^2-1\\f(1)=(1)^2-1\\f(1)=1-1=0`

Therefore:

`f(1)=f(g(1))=(f\circ g)(1)=0`

Our answer is A