Answer:
x-intercept ⇨ -1/3
y-intercept ⇨ 1
Step-by-step explanation:
⟺ Finding the x-intercept, substitute y = 0

Move 1 to subtract the another side.

Then move 3 to divide -1, leaving only x as a subject since we want to find the x-intercept.
#
⟺ Finding the y-intercept, substitute x = 0

#
Tips:
Here's the tips about finding the intercepts of the graph.
⟺ For x-intercept, It's like solving an equation to find the x-term.
⟺ For y-intercept, It's like using the constant to answer.
As for y = mx+b where m = slope and b = y-intercept.
For a linear function, It's not necessary to substitute x = 0 just to find y-intercept as we can answer the constant as our y-intercept.
Here, 4³√(3x-3)² + 2 = 38
= 4³ (3x - 3) = 38 - 2
= 192x - 192 = 36
= 192x = 192 + 36
= x = 228/192
= x = 1.1875 [ Final Answer ]
Hope this helps!
It is 0.4166 (The 6 is repeating)