I am assuming you meant to write the following options
A. f(x)=x+3; g(x)=√x
B. f(x)=x; g(x)=x+3
C. f(x)=√x; g(x)=x+3
D. f(x)=3x; g(x)=√x
You need to find a fucntion f(x) that once evaluated in g(x) gives us as a result h(x)
h(x) = g(f(x))
Looking at the options, the answer is A.
g(f(x)) = sqrt(f(x)) = sqrt (x + 3) = h(x)
Answer:
25 feet
Step-by-step explanation:
Basically that non-regulation tennis court is a rectangle. You want to know the length of the diagonal. If you draw it on paper, you'll see that this then become 2 triangles... of which you have 2 sides, and are seeking the hypotenuse. So....
H² = A² + B²
H² = 20² + 15² = 400 + 225 = 625
H = 25 feet.
7. the last one
I = P R T
I = 15.75 P = 500 R = unknown T = 6
15.75 = 500 (r) (6)
divide the T and I
15.75 ÷ 6 = 500 (r) (6) ÷6
2.62 = 500 (r) *get rid of the six*
divide the P with new answer
2.62 ÷ 500 = 500 ÷ 500 *get rid of 500*
0.00524 = r
move decimal to make it in to a percentage
5.24% = R
The measure off DF is 11.
In a circle inscribed within a triangle, the distance from each vertex of the triangle to the two nearest touchpoints (points of tangency on the circle) are equal. Since SD=4, DT=4 as well. Since UF=7, then FT=7.
DF=DT+TF=4+7=11.