Question

How do you find f(g(-6)) given `f(x)=4x+3` and `g(x)=x-2`?

Answer 1

`-29`

Explanation:

To evaluate f(g(-6)) begin by evaluating g(-6). This is done by substituting x = - 6 for x in g(x).

`rArrg(color(red)(-6))=(color(red)(-6))-2=-8`

now `f(g(-6))=f(-8)`

`rArr f(color(magenta)(-8))=4(color(magenta)(-8))+3=-32+3=-29`