Evaluate the function f x 8xx at fr1 Solutionplease rate if

Evaluate the function f (x) 8-x-x at f(r+1)

Solution

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given f(x)=8-x-x²

f(r+1)=8-(r+1)-(r+1)²

=> f(r+1)=8-r-1-(r²+2r+1)

=> f(r+1)=8-r-1-r²-2r-1

=> f(r+1)=-r²-3r+6

at x=-r²-3r+6

f(-r²-3r+6)=8-(-r²-3r+6)-(-r²-3r+6)²

=> f(-r²-3r+6)=8+r²+3r-6-(r⁴+6r³-3r²-36r+36)

=> f(-r²-3r+6)=8+r²+3r-6-r⁴-6r³+3r²+36r-36

=> f(-r²-3r+6)=-r⁴-6r³+4r²+39r-34