Given f-1(x)=-3/4x+2 which equation represents f(x)
1 answer:
1. Here the question is either
a: f(x-1)=
, what is f(x)?
or
b) f(1-x)=, what is f(x)?
Case a: f(x-1)=, what is f(x)?
substitute x with x+1 in both sides. The reason is to get rid of 1 in the f() expression:
f((x+1)-1)=
f(x+1-1)=
f(x)=
b) in case b substitute x with (1-x) in both sides so that we get:
f(1-x)=f(1-(1-x))=f(1-1+x)=f(x)
a: f(x-1)=
or
b) f(1-x)=
Case a: f(x-1)=
substitute x with x+1 in both sides. The reason is to get rid of 1 in the f() expression:
f((x+1)-1)=
f(x+1-1)=
f(x)=
b) in case b substitute x with (1-x) in both sides so that we get:
f(1-x)=f(1-(1-x))=f(1-1+x)=f(x)
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1) The graph goes through the origin (0,0) which is where the x and y axis cross
2) The graph is a straight line
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