How do you find (goh)(1) given g(x)=x^2+4+2x and h(x)=-3x+2?

1 Answer
Feb 17, 2017

3

Explanation:

Find (g○h)(x) = g(h(x)) to begin with.

g(h(x))=g(color(red)(-3x+2))

color(white)(g(h(x)))=(color(red)(-3x+2))^2+4+2(color(red)(-3x+2))

color(white)(g(h(x)))=9x^2-12x+4+4-6x+4

color(white)(g(h(x)))=9x^2-18x+12

rArr(g○h)(1)=(9xx1^2)-(18xx1)+12

color(white)(rArr(g○h)(1))=9-18+12

color(white)(rArr(g○h)(1))=3