Question 5 of 10 If f(x) = 4x2 + 1 and g(x) = x2 – 5, find (f+ g)(x).
O A. 3x2 + 6
B. 5x2 - 6
C. 3x2 - 4
D. 5x2 - 4

Step-by-step explanation:

(f + g)(x) = f(x) + g(x) = (4x² + 1) + (x² - 5) = 5x² - 4. (D)

D. 5x^2-4

Step-by-step explanation:

We are asked to find (f+g)(x), which is really just the sum of the two functions.

(f+g)(x)=f(x)+g(x)

We know the the functions are:

• f(x)= 4x^2+1

• g(x)=x^2-5

Substitute the functions in.

(f+g)(x)=(4x^2+1)+(x^2-5)

Add the functions by combining like terms. For this equation, the like terms are those with x^2 and the constants.

(f+g)(x)= (4x^2+x^2)+(1-5)

Add the terms with x^2

(f+g)(x)=(5x^2)+(1-5)

Add the constants or terms without variables.

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

The sum of the functions is D. 5x^2-4

43

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional