Given f(x)=4x+6 and g(x)=9x+9
then what is f(g(−6))?
2 answers:
To solve this question, you can break it into 2 parts. First evaluate the function g(X)=9x+9 for g(-6). Which is g(-6) = 9(-6)+9 = -45. Then evaluate f(-45). F(-45)= 4(-45)+6= -180+6= -174. The final answer for f(g(-6))= -174.
F(x)=4x+6 g(x)=9x+9f(g(−6)) f(x)·g(x) = (4x+6)(9x+9) f(x)·g(x) = 36x^2 +36x+54x+54 f(x)·g(x) = 3<span>6x^2 +90x+54 </span>f(x)·g(x) = 3<span>6(-6)^2 +90(-6)+54 </span>f(x)·g(x) = 3<span>6(36)+90(-6)+54 </span>f(x)·g(x) = 1296<span>+(-540)+54 </span>f(x)·g(x) = 1296-540+54 f(x)·g(x) = 810 <span>f(g(−6)) = 810</span>
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