F(x) = 3x^2 + 4x - 6
g(x) = 6x^3 – 5x^2 - 2
Find (f - g)(x).

(f-g)(x) = -6x^3 + 8x^2 + 4x - 4

Step-by-step explanation:

subtract g(x) from f(x)

(f-g)(x) = (3x^2 + 4x - 6) - (6x^3 - 5x^2 -2)

distribute the negative

(f-g)(x) = 3x^2 + 4x - 6 - 6x^3 + 5x^2 +2

like terms and in order of exponent

(f-g)(x) = -6x^3 + 8x^2 + 4x - 4

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.