Question

If f(x) = 5x(3exponent) - 2 and g(x) = 2x+1 , find (f+g) (x)

Answer 1

For this case we must find

`(f + g) (x).`

By definition we have to:

`(f + g) (x) = f (x) + g (x)`

We have the following functions:

`f (x) = 5x ^ 3-2\\g (x) = 2x + 1`

Now, applying the given definition, we have:

`(f + g) (x) = 5x ^ 3-2 + 2x + 1\\(f + g) (x) = 5x ^ 3 + 2x-1`

Answer:

`(f + g) (x) = 5x ^ 3 + 2x-1`