SOLUTION: Given that f(x)=ax+b, f(1)=1 and f ^-1(5)=2, find value of a and of b. Hence, find f ^-1(x) and evaluate f^-1(7) and f ^-1(-5 1/2).

Question 1133690: Given that f(x)=ax+b, f(1)=1 and f ^-1(5)=2, find value of a and of b. Hence, find f ^-1(x) and evaluate f^-1(7) and f ^-1(-5 1/2).
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

Given that

,

and
,

find value of and of.

if => when
then =>=>solve for
....eq.1

now first find

.....swap and
......solve for

.........eq.2

=>
if , we have

........eq.3

from eq.1 and eq.3 we have:

......solve for

now find
....eq.1

so, your equation is:

now, go to eq.2, plug in and

and evaluate

and ()=. ()

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