Given f(x)=sqrt(x) and g(x)= 6x -5,
find f+g, f-g, f*g, and f/g
For f+g, f-g, and f/g, just add, subtract or divide the indicated functions
I am not sure if your f*g is the product of f(x) and g(x), which would be
sqrtx*(6x - 5)
OR
f[g(x)]
which would be
sqrt(6x - 5)
I don't know how to write it, but it said (f o g)(x)
To find f+g, you need to add the two functions:
f+g(x) = sqrt(x) + (6x - 5)
To find f-g, you need to subtract g from f:
f-g(x) = sqrt(x) - (6x - 5)
To find f*g, you need to multiply the two functions:
f*g(x) = sqrt(x)(6x - 5)
To find f/g, you need to divide f by g:
f/g(x) = (sqrt(x))/(6x - 5)
Now, let's simplify each expression further.
1. f+g(x) = sqrt(x) + (6x - 5)
There is no further simplification possible for this expression without more information.
2. f-g(x) = sqrt(x) - (6x - 5)
We can distribute the negative sign to get:
f-g(x) = sqrt(x) - 6x + 5
3. f*g(x) = sqrt(x)(6x - 5)
We can simplify this expression by multiplying:
f*g(x) = 6x^(3/2) - 5x^(1/2)
4. f/g(x) = (sqrt(x))/(6x - 5)
We can't simplify this expression further without more information.
So the simplified forms of the expressions are:
1. f+g(x) = sqrt(x) + (6x - 5)
2. f-g(x) = sqrt(x) - 6x + 5
3. f*g(x) = 6x^(3/2) - 5x^(1/2)
4. f/g(x) = (sqrt(x))/(6x - 5)