Falling Behind in Studies? Join Our Performance Improvement Batch. Enroll For Free
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
F(x)=3x-1 and g(x)=x(x-1) then g(f^-1(x)) is ;??? a) (x/3)(x+1) b) (x/3)(x-1) c) 3x(3x-1) d) (x/3)(x/3 +1)
f(x)=y=3x-1switching the variables to find the inverse function;x=3y-1y=(x+1)/3thus f-¹(x)=(x+1)/3g(f-¹(x))=f-¹(x)(f-¹(x)-1)=((x+1)/3)*((x+1)/3)-1)= ((x+1)/3)*((x+1–3)/3)= ((x+1)(x-2))/9= (x^2 - x - 2)/9
f(x)=y=3x-1
switching the variables to find the inverse function;
x=3y-1
y=(x+1)/3
thus f-¹(x)=(x+1)/3
g(f-¹(x))=f-¹(x)(f-¹(x)-1)
=((x+1)/3)*((x+1)/3)-1)
= ((x+1)/3)*((x+1–3)/3)
= ((x+1)(x-2))/9
= (x^2 - x - 2)/9
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -