Let $f(x)=8 x^{2}-5 x$ and $g(x)=7 x+9$. Find the composite.
-$\mathrm{f}[\mathrm{g}(\mathrm{k})]$
A) $392 k^{2}+973 k+603$
B) $392 k^{2}-973 k+603$
C) $56 k^{2}+35 k+9$
D) $56 k^{2}-35 k+9$

Question

Quizplus · Accepted Answer

To find the composite function $f[g(k)]$, substitute $g(k) = 7k + 9$ into $f(x)$. So, $f[g(k)] = f(7k + 9) = 8(7k + 9)^2 - 5(7k + 9)$. Simplifying this expression gives $392k^2 + 973k + 603$.

Let f(x)=8x2−5xf(x)=8 x^{2}-5 xf(x)=8x2−5x And g(x)=7x+9g(x)=7 x+9g(x)=7x+9 Find the Composite f[g(k)]\mathrm{f}[\mathrm{g}(\mathrm{k})]f[g(k)] A) 392k2+973k+603392 k^{2}+973 k+603392k2+973k+603

Let $f(x)=8 x^{2}-5 x$ And $g(x)=7 x+9$ Find the Composite $\mathrm{f}[\mathrm{g}(\mathrm{k})]$ A) $392 k^{2}+973 k+603$