given that the function f(x) = 4x + 1 , find a formula for f-1(x)
Solution:
f(x)=y=4x+1⇒y−1=4x⇒y−14=x∴f−1(x)=x−14f(x)=y=4x+1 \\\Rightarrow y-1=4x \\\Rightarrow \dfrac{y-1}4=x \\\therefore f^{-1}(x)=\dfrac{x-1}4f(x)=y=4x+1⇒y−1=4x⇒4y−1=x∴f−1(x)=4x−1
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