Question

28. (07.08) Given the function f(x) = log (x + 1), find the value of '(2) (1 point) OP (2) - 3 Of(2)= 11 O r1(2) = 18 OP-(2) = 24

Answer 1

Given that

$f(x)=log_5(x+1)$

To solve the question, we will have to first find the inverse of the function

$f(x)=\text{ y = }log_5(x+1)$$5^y\text{ =x + 1}$

Make x the subject of the formula

$x=5^y\text{ - 1}$

The inverse of the function is:

$f^{-1}(x)=5^x\text{ - 1}$

Substituting x = 2

$\begin{gathered} f^{-1}(2)=5^2\text{ - 1} \\ f^{-1}(2)=25\text{ - 1} \\ \\ f^{-1}(2)=24 \end{gathered}$

Answer = 24

Option D is correct