Answer:
h(x) = 2^(x) - 1.
Step-by-step explanation:
Let's look at each equation:
f(x) = -3x +7, Well as x increases, since it's multiplication, there are "going to be more" -3's, so it's going to be decreasing.
g(x) = -4(2^x). While 2^x is increasing, because "there are going to be more 2's multiplied by each other" as x increases, it's being multiplied by a negative number, so it's actually going to be decrasing
h(x) = 2^(x) - 1. Here's it's going to be increases as x goes towards infinity because "there are going to be more 2's multiplied by each other", and there isn't any negative sign, while there is a negative 1, it's constant, so the overall value will be increasing
Answer: 
Step-by-step explanation:
Given
It takes 20 min and 30 min for a person and his friend to paint a wall individually i.e.
In 1 min they cover
part and
part of wall respectively.
If the work together, 1 minute work is

Time required will be reciprocal of it

Part A
5x - 5 >= 10 or-3x + 1 > 13
1) This is a disjunction (OR)
5x - 5 >= 10
5x >= 15
x >= 3
or
-3x + 1 > 13
-3x > 12
x < -4
Answer
x <- 4 or x >= 3
Part C:
1) This is a conjunction (And)
5x+ 3 <= 18 and 4 - x < 6
5x <= 15 and - x < 2
x <= 3 and x > -2
Answer
-2 < x <= 3