Question

If your trying to find (g × h)(x) and g(x) = 4x - 12 and h(x) = 9x + 3

Answer 1

We know that g(x) = 4x - 12 and g(x) = 4x - 12; therefore, (g × h)(x) = g(x)h(x) anfd this is

`\mleft(g* h\mright)\mleft(x\mright)=g(x)h(x)=(4x-12)(9x+3)`

Which we need to expand and simplify.

Expanding the RHS expression gives

`\mleft(g* h\mright)\mleft(x\mright)=4x(9x+3)-12(9x+3)`
`=36x^2+12x-108x-36`

and finally, simplifying gives

`36x^2-96x-36.`

Hence,

`\mleft(g* h\mright)\mleft(x\mright)=36x^2-96x-36.`