Answer:
f⁻¹(x) = 5th root(x/4 - 5/4)
Step-by-step explanation:
f(x) = 4x^5 + 5
substitute y for f(x):
y = 4x^5 + 5
swap x and y:
x = 4y^5 + 5
subtract 5 from each side:
x - 5 = 4y^5
divide both sides by 4:
(x - 5)/4 = y^5
get the 5th root of each side:
y = 5th root(x/4 - 5/4)
f⁻¹(x) = 5th root(x/4 - 5/4)
