If f(x)=-3x-5 and g(x)=4x-2,find (f-g)(x)

f(x) = -3x - 5, g(x) = 4x - 2

(f - g)(x) = f(x) - g(x) = (-3x - 5) - (4x - 2) = -3x - 5 - 4x + 2 = (-3x - 4x) + (-5 + 2)

(f - g)(x) = -7x - 3

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!