If f(x) = log3 (x + 1), what is f−1(2)?

Asked by maham237 @ 15/12/2020 in Mathematics viewed by 310 People

1
8
10
27

Answered by maham237 @ 15/12/2020

Answer:

Option B. 8

Step-by-step explanation:

Given function is $f(x)=log_{3}(x + 1)$

Now we have to find the value of $f^{-1}(x)$ .

Since $f(x)= y=log_{3}(x+1)$

$3^{y}=(x + 1)$

Now for $f^{-1}(x)$

we will replace x by y.

$3^{x}=y + 1$

$y=3^{x}-1$

$f^{-1}(x)=3^{x}-1$

Now we put the value of x = 2

y = 3²- 1 = 9-1 = 8

Therefore $f^{-1}(2)=8$ is the answer.

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