Unit 2: Functions
Extension Problems
State the domain for the following function.
f(x)=11−11+11−11−1x+1
Domain: {x|x≠
,x∈R}
For f(x)=3x+ax+b,f−1(1)=3 and f−1(−7)=−1. Find the values of a and b.
a=
,b=
Let f(x)=ax+bcx−d(d≠0) and g(x)=−2x+3x−1. If f(g(x))=x, find f(x).
f(x)=
For f(x)=2ax−5a2, find the value(s) of a such that f−1(x)=f(x).
a=