REC(x) = 1
h(x) = x2 + 4
a. What is h(2)? REC(2)?
b. Draw a function machine that illustrates REC(h(1)).
Then calculate REC(h(1)).

a. 8; 1/2

Step-by-step explanation:

a. if the function is f(x)=2x+3 and they ask you what is f(5)? Then you just replace x with what they replaced x with and solve. f(5)=2(5)+3. 2x5=10+3=13 so then f(5)=13. So in your case they replace x with 2. Plug it in. h(2)=2^2+4.

2 to the power of 2 is 4 and then + another 4 which is 8. Thats how you get the first one, now you try and solve REC(2).

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)