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

What is the inverse of the function f(x) = 2x - 10-example-1
User Vika
by
2.4k points

2 Answers

18 votes
18 votes

Answer:

h(x) = 2x + 5

Explanation:

To find the inverse, interchage the variables and solve for y

User Sanxofon
by
2.8k points
14 votes
14 votes

Answer:

1/2x+5

Explanation:

y = 2x-10

Exchange x and y

x = 2y -10

Solve for y

x + 10 = 2y-10+10

x+10 = 2y

Divide by 2

x/2 + 10/2 = 2y/2

1/2x +5 = y

The inverse is 1/2x+5

User Clyne
by
3.6k points