Suppose these functions sxx4 tx3x2 Find the expressions for

Suppose these functions:

s(x)=x+4

t(x)=3x+2

Find the expressions for:

(s+t)(x)=

(s* t)(x)=

(s-t)(1)=

Solution

given

s(x)=x+4

t(x)=3x+2

(s+t)(x)=s(x)+t(x)=x+4+3x+2 =4x +6

(s* t)(x)=s(x)*t(x)

=(x+4)(3x+2)

=x(3x+2)+4(3x+2)

=3x²+2x+12x+8

=3x²+14x+8

(s-t)(x)=s(x)-t(x)

(s-t)(x)=x+4-3x-2

(s-t)(x)=-2x+2

(s-t)(1)=-2(1) +2

(s-t)(x)=-2+2

(s-t)(x)=0