Wednesday

April 16, 2014

April 16, 2014

Posted by **Julia** on Sunday, February 10, 2013 at 11:52pm.

**If you could help with anything I'd really appreciate it!! Thank you**

Suppose f and g are functions defined by the following table:

x) -3 -2 -1 0 1 2 3

f(x) 10 8 7 3 -4 -7 -8

g(x) 3 1 0 2 -3 -1 -2

i. Make a table of values for f(g(x)) with x= -3,-2,-1,0,1,2,3 Remember to always start with the innermost set of parentheses

ii. Make a table of values for g(g(x)) with x= -3,-2,-1,0,1,2,3.

iii. Explain why you cannot find the composite function g(f(x)).

a)Consider the two functions f(x)=-x^2+ 7 and g(x)=3x+4. Using input values of -1,2,0.5,and 8 for x:

1. Calculate f(g(x)) for each input value

2. Calculate g(f(x)) for each input value.

B) if f and g are two functions, what must be true about the domains and ranges of f and g in order for f(g(x)) to make sense? What must be true for g(f(x))to make sense?

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