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Which represents the inverse of the function f(x) = 4x? h(x) = x + 4 h(x) = x – 4 h(x) = three-quartersx h(x) = one-quarterx

Respuesta :

gmany

Answer:

[tex]\large\boxed{f^{-1}(x)=h(x)=\dfrac{1}{4}x}[/tex]

Step-by-step explanation:

[tex]f(x)=4x\to y=4x\\\\\text{exchange}\ x\ \text{to}\ y\to x=4y\\\\\text{solve for}\ y:\\\\4y=x\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x}{4}\\\\y=\dfrac{1}{4}x[/tex]

kevinp32

Answer: D. h[x]=1/4x

Step-by-step explanation:

f(x) = 4x  or y = 4x

Its inverse is obtained by switching the variables and solving for y.

x = 4y

y = (1/4)x

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