13. The figure above shows the graph of y=g(x). h(x)=g(2x)+2

h(1)?

Solution

1. We have h(x)=g(2x)+2 …i and h(1)=1….ii

We can substitute 1 to first equation, and we know it is h(1)

For x=1 we have h(1)=g(2)+2…iii

2. We have y=g(x)…iv

The meaning of g(2) is when x=2, then y=1…v

3. From fifth and third equation we have h(1)=1+2

Then h(1) =3

In the mathematic we can write

h(x)=g(2x)+2

h(1)=g(2)+2

h(1)=1+2

h(1) =3

13. Let the function f be defined by f(x)=x+1, if 2f(p)=20. what is the value of f(3p)?

Solution

1. From 2f(p)=20 we can look for p.

If 2f(p)=20 and the equation is over 2 we have f(p)=10

Then we substitute p to f(x). and we have f(p)=p+1

f(p) is 10 and f(p) is p+1

Then p+1=10

And we have p is 10-1

And p is 9

2. If p=9, then f(3p) is 3p+1=(3*9)+1

f(3p) is 27+1

And we have f(3p) is 28

17. in the xy- coordinate plane, the graph of x=y^2 – 4. intersects line l at (0,p) and (5,t). what is the greates possible value of the slope of l?