Question

What is the inverse of the function f(x) = 4x + 8?

A. H(x) = 1/4x - 2
B. h(x) = 1/4x + 2
C. H(x) = 1/2x - 2
D. h(x) = 1/2x + 2

Answer 1

Finall Answer:

The inverse of the function
`\( f(x) = 4x + 8 \) is \( H(x) = (1)/(4)x - 2 \).`Therefore, the correct choice among the options provided is A.

Step-by-step explanation:

The inverse of a function reverses the input and output variables. To find the inverse of
`\( f(x) = 4x + 8 \),` follow these steps. First, substitute
`\( f(x) \) with \( y \) to obtain \( y = 4x + 8 \). Next, swap \( x \) and \( y \) to rewrite the equation as \( x = 4y + 8 \).`

Solve this equation for
`\( y \)` to isolate it on one side, giving
`\( y = (1)/(4)x - 2 \), which is \( H(x) \).` This inverse function undoes the operations of the original function, making A the correct choice among the options provided.

Therefore, the correct answer is A. probability