Question

if f(x) = -2x + 8 then f-1(1) is equal to

Answer 1

Answer:

Y=-2x+8

2x=8-y

X=8-y/2

F^-1(x)=8-x/2

Ans:f^-1(1)=7/2

Answer 2

The value of f-1(1) is 3.5.

Given:

f(x) = -2x + 8

To Find:

The value of f-1(1).

Solution:

To find the value of f-1(1), we will follow the following steps:

As we know,

The function is -2x + 8

Let's take f(x) = y

So,

$y = -2x + 8$

Now,

$- 2x = y - 8$

$2x = 8 - y$

$x = \frac{8 - y}{2}$

Now,

f-1(1) means putting the value of x = 1 on the inverse of variables in the function.

So,

$y = \frac{8 - x}{2} = \frac{8 - 1}{2} = \frac{7}{2} = 3.5$

Henceforth, The value of f-1(1) is 3.5.

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