Answer:
x=y/4 + 4
Step-by-step explanation:
y=4x-16
-need to isolate x
add 16 to both sides.
y+16=4x
divide by 4 on both sides.
y/4 + 4 = x
The inverse function of the given function is x=y/4 + 4
We have given that,
y=4x-16
We have to determine that, the inverse of y=4x-16
An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function f takes x to y then, the inverse of f will take y to x. If the function is denoted by f or F, then the inverse function is denoted by [tex]f^{-1}[/tex]
y=4x-16
-need to isolate x
add 16 to both sides.
y+16=4x
divide by 4 on both sides.
y/4y/4 + 4 = x + 4 = x
Therefore the inverese function of the given function is y/4 + 4 = x.
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