Question

Find inverse of f(x) = 10x –7

Answer 1

Answer:

x+7/10

Step-by-step explanation:

f(x)=10x-7

y=10x-7

y+7=10x

x=y+7/10

Now,Replace The Y with X

$f^{-1}$(x) = x+7/10

Answer 2

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

$⇒ f(y) = x$

It is given that, f(x) = 10x − 7, then f(y) = 10y − 7.

$⇒ 10y−7=x\\\\⇒ 10y=x+7\\\\⇒ y= \frac{x+7}{10}$

From ( 1 ),

$⇒ f ^{−1} (x)= \frac{x+7}{10}$