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.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17