Answer:
Step-by-step explanation:
The inverse is found by interchanging the x and y values and solve the result for y.
I will use y for f(x)
y = 4x^2
Inverse
x = 4y^2 Divide by 4
x/4 = 4y^2 /4
x/4 = y^2 Take the square root of both sides.
sqrt(x/4) = sqrt(y^2)
y = sqrt(x/4)
g(x) = sqrt(x/4) If you have a very fussy teacher, the inverse function could be written as
g(x) = +/- sqrt(x)/2
I expect that if the question is computer marked, I would try g(x) = sqrt(x)/2 first.
