Question

Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x - 4
h(x) = 2x
h(x) = IX
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Answer 1

Answer:

Step-by-step explanation:

(1) = f(x) = 4x

$y = 4x\\x = 4y\\y = \frac{x}{4}\\f^{-1}(x) = \frac{x}{4}$

(2) h(x) = x + 4

y = x + 4

Replace x with y and vice versa:

x = y + 4

And then solve for 'y':

y = x - 4

$h^{-1}(x) = x - 4$

(3) h(x) = x - 4

y = x - 4

x = y - 4

y = x + 4

$h^{-1}(x) = x + 4$

(4) h(x) = 2x

y = 2x

x = 2y

y = $\frac{x}{2}$

$h^{-1}(x) = \frac{x}{2}$