Answer to Question #55753 in Algebra for Butch DeLoria

Question

6: If f(x) = 2x +1 and g(x) = x^2 – 7, find (f/g)(x)

A: x^2 – 7
--------- x ≠ - ½
2x + 1

B: 2x + 1
-------- x ≠ ± √7
x^2 – 7

C: x^2-7
--------
2x + 1

D: 2x + 1
----------
x^2 – 7

7: f(x) = 4x + 1 and g(x) = x^2 -5, find (g/f)(x)

A: 4x +1
-------- x ≠ ± √5
x^2 – 5

B: x^2 -5
--------- x ≠ - ¼
4x + 1

C: x^2 – 5
----------
4x + 1

D: 4x + 1
---------
x^2 – 5

8: For f(x) = 3x +1 and g(x) = x^2 -7, find (f o g)(4)

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9: If h(x) = (f o g)(x) and h(x) = √x+5, find g(x) if f(x) = √x+2. The root goes over both the x and the +5 as well the x and +2.

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10: If f(x) = 2x, g(x) = 2x -1 and h(x) = √x find (f o g o h)(9)

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