Question

Let f(x) = xsquared - 1 and g(x) = 1/x. Find (a). (f o g) (x)
(b) (gof) (-1)
(c) (fof) (x)
(d) (gog) (5)​

Answer 1

Answer:

Correct option is

B

f(x)=1+x2x

Given:-

f(x)=1−x2x

g(x)=1+x2x

To find:-

fog(x)=?

fog(x)

=f(g(x))

=f(1+x2x)

=1−(1+x2x)2(1+x2x)

=1−(1+x2x2)