If f(x) = 2x^2 + 1 and g(x) = x^2 -7, find (f-g)(x) a. 3x^2 - 6 b. 3x^2 + 8 c. x^2 - 6 d. x^2 + 8

D:  x² + 8

Step-by-step explanation:

(f - g)(x) =  f(x) - g(x) = 2x² + 1 - (x² - 7)

which is

2x² + 1 - x² - (-7)

2x² - x² + 1 + 7

x² + 8

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3