If f(x) = -4x + 15 and g(x) = 7.x^3 find the following.
1) g(-3) + f(-3)
2) (f-g)(2)

g(-3) + f(-3) = -162

(f - g)(2) = -49

Step-by-step explanation:

f(x) = -4x + 15

g(x) = 7x³

1)

g(-3) + f(-3)

Evaluate g(-3) and f(-3).

g(-3) = 7(-3)³, f(-3) = -4(-3) + 15

7(-3)³ + -4(-3) + 15

Evaluate (-3) to the third power.

7(-27) + -4(-3) + 15

Multiply.

-189 + 12 + 15

Add.

-177 + 15

-162.

2)

(f - g)(2) = f(2) - g(2)

Evaluate f(2) and g(2)

f(2) = -4(2) + 15

f(2) = -8 + 15

f(2) = 7

g(2) = 7(2)³

g(2) = 7(8)

g(2) = 56

Now subtract the result of g(2) from the result of f(2)

(f - g)(2) = 7 - 56

(f - g)(2) = -49.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x