Question

Given f(x) = the quantity of x minus 1, divided by 2, solve for f−1(5). 2 9 11 15

Answer 1

F ( x ) = ( x - 1 ) / 2
y = ( x - 1 ) / 2
x - 1 = 2 y
x = 2 y + 1
f ^(-1) ( x ) = 2 x + 1  ( this is inverse function )
f ^(-1) ( 5 ) = 2 * 5 + 1 = 10 + 1 = 11
Answer: C ) 11 

Answer 2

Answer:

$f^{-1}(5)=11$

Step-by-step explanation:

Step 1

Find the inverse function

we have

$f(x)=\frac{x-1}{2}$

Let

$y=f(x)$

$y=\frac{x-1}{2}$

Exchanges the variables x for y and y for x

$x=\frac{y-1}{2}$

Isolate the variable y

$y=2x+1$

Let

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

$f^{-1}(x)=2x+1$ ------> inverse function

Step 2

Find $f^{-1}(5)$

Substitute the value of $x=5$ in the inverse function

$f^{-1}(5)=2(5)+1=11$