\begin{align*}f(x)&=x^2\\g(x)&=x-9\end{align*}

The functions f and g are defined above. if g(f(a-2))=0, which of the following could be the value of a ?

A)
B)
C)
D)

 


   

Comments (2)

f(x) =x^2

(a-2)^2-9 =0 subsitute a-2 for x which must be squared as per function directive

(a^2-4a+4 )-9=0
a^2-4a-5= (a+1)( a-5)=0 so when a=-1 this will satisfy one point where y will be = to 0

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