Mathematics: What is the inverse of the function f(x) = 2x – 10? h(x) = 2x – 5 h(x) = 2x + 5 h(x) = x – 5 h(x) = x + 5

The first answer (4 to the 2nd power)...

What is the inverse of the function f(x) = 2x – - id2103812686, savannahvargas512

avery58

10.01.2022

$h(x)=\frac{1}{2}x+5$

Step-by-step explanation:

the inverse of the function f(x) = 2x - 10

To find the inverse of the given function , we replace f(x) by y

y= 2x - 10

Now switch the variables, replace x with y and y with x

x= 2y - 10

Solve for y

Add 10 on both sides

x+10=2y

Now divide by 2 on both sides

$\frac{1}{2}x+5=y$

now replace y with h(x)

$h(x)=\frac{1}{2}x+5$

0,0(0 оценок)