Answer to Question #21253 in Trigonometry for Kristen Woods

Question #21253

Let f(x)=|x-5| and g(x)=1/x
Write the given function as a composition function
using f and g.

H(x)=|1/x-(5)|

Expert's answer

H(x)=| 1/x -5 | let t=1/x then
H(x)=| t-5 |=f( t ) but t=1/x=g(x)
so we have H(x)=f(g(x))

Learn more about our help with Assignments: Trigonometry

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. If f = (1, 2), (2, 3), (3, 4), (4, 5), g = (1, -2), (3, -3), (5, -5), and h = (1, 0), (2, 1), (3,
2. Let f(x)=|x-5| and g(x)=1/x Write the given function as a composition function using f and g. H(x)
3. If f = (1, 2), (2, 3), (3, 4), (4, 5), g = (1, -2), (3, -3), (5, -5), and h = (1, 0), (2, 1), (3,
4. if f(x)=x^2+3 and g(x)=3x-1 then find the following 1g. (f * g)(x) 1h. (f * g)(1) 1i. (g * f)(x)
5. if f(x)=x^2+3 and g(x)=3x-1 then find the following 1a. (f+g)(x) 1b. (f+g)(3) 1c. (f-g)(x)
6. The angle of elevation of the top a rock from the top and foot of a 100m high tower are 30 and 45 de
7. find the slope of the line that is a) parallel and b) perpendicular to the given line 1a) 5x+2y=10