Question

Question 5 of 10

Answer 1

Step-by-step explanation:

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

Answer 2

Answer:

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