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If f(x)=sqrt(x^(2)-3x+6) and g(x)=(156)/...

If `f(x)=sqrt(x^(2)-3x+6)` and `g(x)=(156)/(x+17)`, then what is the value of `g(f(4))` ?

A

`5.8`

B

`7.4`

C

`7.7`

D

`8.2`

Text Solution

Verified by Experts

The correct Answer is:
C
`f(4)=sqrt(4^(2)-3(4)+6)=sqrt(16-12+6)=sqrt(10)`.
`g(f(4))=g(sqrt(10))=(156)/(sqrt(10)+17)` . Use your calculator here. `g(f(4))=(156)/(sqrt(10)+17)~~7.7`.
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