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