A function, f(x) = x, is vertically translated 4 units up and then reflected across the y-axis. What's the new function in terms of g(x)?

The new function is g(x) = -x + 4

Step-by-step explanation:

∵ A function f(x) = x

∵ It is vertically translated 4 units up

→ By using the 1st rule above, the value of k = 4

∴ k = 4

∵ Its image h(x) = f(x) + k

∴ Its image h(x) = f(x) + 4

∴ Its image h(x) = x + 4

∵ Then it is reflected across the y-axis

→ By using the 2nd rule above, change the sign of x in h(x)

∵ h(x) = x + 4

∴ g(x) = h(-x)

∴ g(x) = -x + 4

∴ The new function is g(x) = -x + 4

7

step-by-step explanation:

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer