Question

What is the inverse of the functionf(x)=2x+1

Answer 1

Solution :

Given , function$f(x) = 2x+1$

we have to find the inverse of the function f(x)

Substitute y for f(x):  $y=2x+1$

Subtract 1 from both sides, $y-1=2x+1-1$

Divide both sides by 2, $\frac{y-1}{2} = x$

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

Substitute $f^{-1}(y)\:for\:x$$\RIghtarrow f^{-1}(y)=\frac{y-1}{2}$

Hence, The inverse of the function $f(x)=2x+1\:is f^{-1}(y)=\frac{y-1}{2}$

Answer 2

x = 2x + 1

x - 2x = 1

-x = 1

x = -1