Question

given the function f(x) = 2^x, find the value of f−1(32). (1 point) f−1(32) = 0 f−1(32) = 1 f−1(32) = 5 f−1(32) = 16

Answer 1

Answer:

5

Step-by-step explanation:

The inverse of $f(x)=2^x$ is $g(x)=\log_2(x)$.

$g(32)=\log_2(32)$

$\log_2(32)=5$ since $2^5=32$.

$g(32)=\log_2(32)=5$

Note: In general, the inverse of $f(x)=a^x$ is $g(x)=\log_a(x)$.