Let f(x)=3x-1 and g(x)=x squared+2. find (f o g)(0). then (f o g)(0)= ?

5

Step-by-step explanation:

Evaluate g(0) then substitute the value obtained into f(x)

g(0) = 0² + 2 = 0 + 2 = 2, then

f(2) = 3(2) - 1 = 6 - 1 = 5

5.

Step-by-step explanation:

To find (f o g)(x) we replace the x in f(x) by g(x):

(f o g)(x)  = 3(x^2 + 2) - 1.

So (f o g)(0) =  3(0^2 + 2) - 1

= 6 - 1

= 5.

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