Question 1039319
Find the inverse function of f.
f(x)= 7 - 4x^3 
y = 7 - 4x^3
swap x and y
x = 7 - 4y^2
solve for y
x - 7 = -4y^3
{{{((x-7))/(-4)))}}} = y^3
find the cube root of both sides
y = {{{3sqrt((x-7)/-4)}}}
looks something like this, the green line should go negative just like the red
{{{ graph( 300, 300, -6, 10, -6, 10, 7-4x^3, ((x-7)/-4)^(1/3)) }}}