Question

Find (f•g)(1) f(x)= x^2-1 g(x)=sqrt x

Answer 1

Answer:

0

Step-by-step explanation:

So we have the two functions:

$f(x)=x^2-1\text{ and } g(x)=\sqrt x$

And we want to find:

$(f\cdot g)(1)$

This is the same as:

$=f(1)\cdot g(1)$

So, let's find f(1) and g(1):

$f(1)=(1)^2-1$

Square:

$f(1)=1-1$

Subtract:

$f(1)=0$

$g(1)=\sqrt1$

Evaluate:

$g(1)=1$

So:

$(f\cdot g)(1)=f(1)\cdot g(1)=0\cdot1$

Multiply:

$=0$

So, our answer is 0.

And we're done!