Iwill give brainliest, 30 points the graph below shows three functions: graph of function f of x equals 2 to the power of negative x. graph of function g of x equals 5 to the power of x. graph of p of x is a line segment connecting points negative 1, negative 3 and 2, 12. which function has all real numbers as its domain? only f(x) both g(x) and p(x) both f(x) and g(x) only p(x)

Only p(x) has all real numbers as its domain

Step-by-step explanation:

The given functions is:

g(x) = 5ˣ

p(x) = (1, 3) and (2, 12)

To find equation of the line passing through points (x₁,y₁) and (x₂,y₂), (x₁≠x₂). We use formula:

where,(x₁,y₁) = (1, 3) and (x₂,y₂) = (2,12)

Hence, p(x) = y = 9x − 6

Here, both f(x) and g(x) is exponential function and p(x) is linear function.

Also here f(x) is not defined in large negative value, hence its domain is not all real numbers.

And g(x) is not defined in large positive value, hence its domain is not all real numbers.

But p(x) is defined over all real numbers, hence Only p(x) has domain of all real numbers.

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is