Question

SS 201 MTH 116 Final Exam 1. (12 points.) Use the graphs of the functions fand g to answer the following questions. Write your answers using the interval notation when appropriate. Domain of s-g is Domain o is Domain of f is (fof)(-1)- f (2) 12

Answer 1

(a)

we know that domain is all possible values of x

so, domain will be all domain of f and g

So, we get

4, 4

(b)

$\frac{g}{f}$

we know that f can not be zero

and f is zero at x=-1

so, domain will be

-4,-1) U (-1,4

(c)

Domain of f^-1

we know that domain of inverse function is range of original function  

So, we get domain as

4, 4

(d)

$(f-g)(-4)=f(-4)-g(-4)$

$(f-g)(-4)=-3-4$

$(f-g)(-4)=-7$............Answer

(e)

(fg)(-2)-f-2)g(-2

(fg)(-2)--2x -2

..........Answer

( fg)(-2) = 4

(f)

(fof)(-1)

$(fof)(-1)=f(f(-1))$

$(fof)(-1)=f(0)$

...........Answer

( fo f ) (-1)=2

(g)

$f^{-1}(2)$

now, we can find x-value when f(x)=2

so, we get

$f^{-1}(2)=0$.............Answer