Question

Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type your answers in the box

Answer 1

f(x) = (1/2)x + 4
Plug y in for f(x).
y = (1/2)x + 4
Swap x and y.
x = (1/2)y + 4
Solve the equation for y =.
Subtract 4 from both sides.
x - 4 = (1/2)y
Multiply each term 2.
2x - 8 = y
Plug f^-1(x) in for y.
f^-1(x) = 2x - 8

f^-1(4) = 2(4) - 8
f^-1(4) = 0

Answer 2

The value of ƒ -1(4) given ƒ(x) = 1/2x + 4 is;

f-¹(4) = 0

To find the inverse function for the function,

• f(x) = (1/2)x + 4.

We need to first substitute y for f(x) and then swap x and y as follows;

• y = (1/2)x + 4

• x = (1/2)y + 4.

Then we solve the equation for y;

• y = 2x - 8.

Therefore, f-¹(x) = 2x - 8

• f-¹(4) = 2(4) - 8

• f-¹(4) = 0.

Therefore, the value of f-¹(4) = 0.

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