Answer:
f−1(x) = [tex]\frac{4x}{6}[/tex]
Step-by-step explanation:
f(x) = 0.25(6)x, find f−1(x).
f(x) = 0.25(6)x
f(x) = [tex]\frac{6}{4}[/tex]x = [tex]\frac{6x}{4}[/tex]
f(x) = y
y = [tex]\frac{6x}{4}[/tex]
Substitute y for an x & x for a y
x = [tex]\frac{6y}{4}[/tex]
Multiply both sides by 4
4( x ) = 4( [tex]\frac{6y}{4}[/tex] )
4x = 6y
Divide both sides by 6 to solve for y
[tex]\frac{4x}{6}[/tex] = y
y = [tex]\frac{4x}{6}[/tex]
so f−1(x) = [tex]\frac{4x}{6}[/tex]
