Question

If f(x) = x2 and g(x) =1/2x 3 , find g(f(-1)).

Answer 1

f(-1)= -1^2 = +1

g(1) = 1/2*1 ? 3

so what sign missed from there ????

Answer 2

The value of
`g(f(-1))=(1)/(2)`

Explanation:

Given :
`f(x)=x^2` and
`g(x)=(1)/(2)x^3`

To find : The value of
`g(f(-1))`?

Solution :

First we find the function g(f(x)),

Which means substitute the value of f(x) in g(x)

`g(f(x))=(1)/(2)(x^2)^3`

`g(f(x))=(1)/(2)(x^6)`

Now, we put the value of x=-1

`g(f(-1))=(1)/(2)(-1^6)`

`g(f(-1))=(1)/(2)(1)`

`g(f(-1))=(1)/(2)`

Therefore, The value of
`g(f(-1))=(1)/(2)`