Given that f(x) = x2 – 7x – 1, g(x) = 2x – 3, and h(x) = 4x – 5 find each function.
(f + g)(x)
options:
a) x2 – 5x – 4
b) x2 – 11x + 4
c) x2 – 3x – 6
d) x2 – 5x – 6

A)

Step-by-step explanation:

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

now plug in the expressions of f(x) and g(x) :

(f+g)(x) =

we combine like terms we get :

(f+g)(x) =

we simplify we get :

(f+g)(x)=

so the answer is A)

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph