Question

Suppose that f(x)=-4-3x and g(x)=sqrt2+x find the rule of the composite function fog.?

Answer 1

See the following :)

Explanation:

`f @ g = f[ g(x)]`

In this question, you can sub the inner part `g(x)` first and sub the things we get to replace the `x` of `f(x)`:

`f @ g = f[ g(x)]= f(sqrt2+x)`

`=-4-3(sqrt2+x)`

`=-4-3sqrt2 -3x`