If f(x) = 5 log(5)x then f^(-1)(alpha -...

If `f(x) = 5 log_(5)x ` then `f^(-1)(alpha - beta)` where `alpha , beta in R` is equal to

A

a)`f^(-1)(alpha)-f^(-1)(beta)`

B

b) `(f^(-1)(alpha))/(f^(-1)(beta))`

C

c) `1/(f(alpha-beta))`

D

d) `1/(f(alpha) - f(beta))`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If x^(2) + px + q = 0 has the roots alpha and beta , then the value of (alpha - beta)^(2) is equal to

Let cos(alpha+beta)=4//5and let sin(alpha-beta)=5//13 , where 0lealpha,betalepi//4 . Then tan2alpha is equal to

If alpha, beta in (0, (pi)/(2)), sin alpha = (4)/(5) and cos (alpha + beta) = -(12)/(13) , then sin beta is equal to

Let alpha and beta be the roots of the equation px^(2) + qx + r=0 . If p, q, r in AP and alpha+beta =4 , then alpha beta is equal to

If alpha and beta are the roots of x^(2)-2x +4=0 then alpha^(n) + beta^(n) is equal to