$(g\circ f)(x)=g(f(x))\\\\\text{We have}\ f(x)=3x-2\ \text{and}\ g(x)=x^2.\ \text{Substitute:}\\\\(g\circ f)(x)=(3x-2)^2\\\\(g\circ f)(3)\to \text{put the value of x = 3 to the equation of the function}\\\\(g\circ f)(3)=(3\cdot3-2)^2=(9-2)^2=(7)^2=7\cdot7=49\\\\Answer:\ \boxed{(g\circ f)(3)=49}$

4 0

3 years ago

13. A carpenter needs to replace some flooring in a house.

babunello [35]

Answer:

the carpenter will replace some carpet then you will thank them and pay them

6 0

4 years ago

The track pine middle school is 1/3 of a mile for each lap. mathew walked around the track and completed 9 laps in one hour. how

Nina [5.8K]

He walked 3 miles in an hour. He would have to also walk 9 laps in 45 minutes to walk the same amount. Not sure what your question is?

7 0

4 years ago

A family has two cars. During one particular week, the first car consumed 15 gallons of gas. The two cars Drove a combined total

julia-pushkina [17]

Answer:

Car 1 : 40 miles per gallon

Car 2: 25 miles per gallon

Step-by-step explanation:

family has two cars. During one particular week, the first car consumed 15 gallons of gas. The second car consumed 25 gallons of gas. The two cars Drove a combined total of 1475 miles and the sum of their fuel efficiency was 65 miles per gallon. What were the fuel efficiency of each of the cars that week

Given that :

Fuel efficiency , car 1 = x

Fuel efficiency , car 2 = y

x + y = 65 - - (1)

15x + 35y = 1475 - - - (2)

x = 65 - y

15(65-y) + 35y

975 - 15y + 35y = 1475

20y = 14875 - 975

20y = 500

y = 25

Put y = 25 in (1)

x + y = 65

x + 25 = 65

x = 65 - 25

x = 40

6 0

3 years ago