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Mars2501 [29]
2 years ago
7

Inverse of the function f(x)=4x

Mathematics
2 answers:
KatRina [158]2 years ago
6 0

Answer:

\large\boxed{f^{-1}(x)=\dfrac{1}{4}x}

Step-by-step explanation:

f(x)=4x\to y=4x\\\\\text{exchange x to y and vice versa:}\\\\x=4y\qquad\text{solve for}\ y:\\\\4y=x\qquad\text{divide both sides by 4}\\\\y=\dfrac{x}{4}=\dfrac{1}{4}x

Pani-rosa [81]2 years ago
4 0

Answer:

f(x)^-1 = x/4

Step-by-step explanation:

f(x)=4x

inverse

x = 4y

rewrite

4y = x

y = x/4

Answer:

f(x)^-1 = x/4

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