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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) = 2x+5

User Dalimian
by
7.6k points

1 Answer

4 votes

Answer:


h(x)=(1)/(2)x+5

Explanation:

To get inverse of a function, we follow the steps shown below:

1. Change f(x) to y, if applicable

2. Interchange x and y

3. Solve for new y

That is the function, name it if applicable.

So, we have:

f(x) = 2x - 10

Now, we do:

y = 2x - 10

Now, we interchange x and y:

x = 2y - 10

Now, we solve for y:


x = 2y - 10\\2y=x+10\\y=(x+10)/(2)\\y=(1)/(2)x+5

This is the inverse function:


h(x)=(1)/(2)x+5

User Hazel
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