For f(x) = 4x+7 find (f4)? for each function what is the output of the given input. show step by step.

Step-by-step explanation:

f(x) = 4x+7

Here f(x) is the function defined for x .

so when we need f(4) we replace the x in the equation by 4 to get f(4)

f(x) = 4x+7

f(4)=4.4+7

Now we need to simplify it to get the required value

f(4) =16+7

f(4)= 23

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3