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Let g(x)=2x and h(x)= x^2+4. FInd each value or expression (g*g)(a) & (h*h)(a)
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High School Teacher
Since `g(x)=2x` , then the composition is:
`g circ g(a)`
`=g(2a)` now sub in the function
Also, since `h(x)=x^2+4` , the composition is:
`h circ h(a)`
`=h(a^2+4)` sub in the function
`=(a^2+4)^2+4` simplify the brackets
`=a^4+8a^2+16+4` simplify the expression
The compositions are `g circ g(a)=4a` and `h circ h(a)=a^4+8a^2+20` .` `
Posted by lfryerda on January 8, 2013 at 1:35 AM (Answer #1)
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