Question

If f(x) = 4x - 3, what is f(x)^-1?

Answer 1

Answer:

$f^{-1}(x)=\dfrac{x+3}{4}$

Step-by-step explanation:

Given: $f(x)=4x-3$

We need to find the inverse.

Step 1: Set f(x)=y

$y=4x-3$

Step 2: Switch x and y

$x=4y-3$

Step 3: Solve for y

$x+3=4y$

$y=\dfrac{x+3}{4}$

Hence, The inverse of given function is $y=\dfrac{x+3}{4}$

Answer 2

f(x) = 4x - 3
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The problem asks you to find f(-1).
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All that this is telling you to do is to evaluate f(x) when x equals -1. So, just go to the
given f(x) and substitute -1 for every x. 
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Starting with:
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f(x) = 4x - 3