f(x) = 6x² + 2 and g(x) = 5x² -x -1 find (f-g) (x)
Answer (1)
Answer:Step-by-step explanation:To find (f−g)(x), we subtract g(x) from f(x).Given:f(x)=6x 2+2g(x)=5x2−x−1Step-by-step solution:Write out the expression for (f−g)(x):(f−g)(x)=f(x)−g(x)Substitute the given functions into the expression:(f−g)(x)=(6x 2+2)−(5x 2−x−1)Distribute the negative sign to each term inside the second parenthesis (the terms of g(x)):(f−g)(x)=6x 2+2−5x 2+x+1Combine like terms. Group the x 2terms, the x terms, and the constant terms:(f−g)(x)=(6x 2−5x 2)+(x)+(2+1)Perform the addition/subtraction for each group:(f−g)(x)=x 2+x+3Therefore, (f−g)(x)=x2+x+3.
