Let f(x) = -2x - 7 and g(x) = -4x + 6. find (f o )
a. –6
b. 3
c. 26
d. –59

Option D. - 59

Step-by-step explanation:

To solve this problem the first step is to introduce the function g(x) inside the function f(x). Therefore the range of g(x) will now be the domain of f(x).

f(x) = -2x - 7

g(x) = -4x + 6

(f o g)(x) = f(g(x))

f(g(x)) = -2(-4x + 6) - 7

f(g(x)) = 8x -12 -7

f(g(x)) = 8x -19

Now we make x = -5

(f o g)(- 5) = 8 (-5) -19

(f o g)(- 5) = -59

The correct option is D. -59

Option D. -59 is the correct answer.

Step-by-step explanation:

The given function in the question are f(x) = -2x - 7 and g(x) = -4x + 6

Then we have to find the value of (f o g)(-5).

So we will find the function (f o g)(x) first.

(f o g)(x) = -2(-4x + 6) - 7 = 8x - 12 - 7

             = 8x - 19

Now (f o g)(-5) = 8×(-5) - 19 = -(40 + 19) = -59

Therefore the value of (f o g)(-5) = -59.

Option D is the correct answer.

the correct answer is d

hope this

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500