What is the inverse of f(x)=(x−5)^2 for x≥5 where function g is the inverse of function f?

Say, for example, that a function  f  acts on 5, producing  f(5).  Then if g is the inverse of f, then g acting on f(5) will bring back 5.

g(f(5)) = 5.

Actually, g must do that for all values in the domain of f.  And f must do that for all values in the domain of g.

In general, if a function f acts on a value of x, producing f(x),

then if g is the inverse, then g acting on f(x) -- g(f(x)) --will return x.

Here is the definition:

Functions f(x) and g(x) are inverses of one another if:

f(g(x)) = x   and   g(f(x)) = x,

for all values of x in their respective domains.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

not sure but it may be b, as i said i'm not sure.