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Find the inverse function for f(x) = 2x + 5. If it helps, think of it as y = 2x + 5. Below, you can just think of the f^-1 as y (but this time it's the y value for the inverse function).
A: f^-1(x) = (x - 5) / 2
B: f^-1(x) = (x + 5) / 2
C: f^-1(x) = 2x - 5
D: f^-1(x) = x/2 - 5
E: f^-1(x) = 2(x - 5)

Respuesta :

Answer:

A

Step-by-step explanation:

You switch the y and x and solve for y.

y = 2x + 5

becomes

x = 2y + 5

Subtract 5 on both sides.

x - 5 = 2y

Divide 2 on both sides.

(x - 5) / 2 = y

Answer:

A: f^-1(x) = (x - 5) / 2

Step-by-step explanation:

To find the inverse of a function, exchange x and y then solve for x

y = 2x +5

Exchange x and y

x = 2y +5

Solve for y

Subtract 5

x-5 = 2y +5-5

x-5 = 2y

Divide by 2

(x-5)/2 = y

The inverse is (x-5)/2

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