Question

50 points! Multiple choice algebra question. Gilda used the formula f(x) = x/144 to convert square inches to square feet. Find the inverse of f(x). Photo attached. Thank you,

Answer 1

To find the inverse of f(x), we need to switch x and f(x) and solve for x:

x = f(f^(-1)(x))

In this case, f(x) = x/144, so we have:

x = f(f^(-1)(x))
x = (f^(-1)(x))/144

Simplifying for f^(-1)(x), we multiply each side by 144:

144x = f^(-1)(x)

Therefore, the inverse of f(x) is:

f^(-1)(x) = 144x