Suppose that the functions s and t are defined for all real numbers x as follows. s(x)=2x+6 t(x)=3x. write the expressions for (s+t)(x) and (s*t)(x) and evaluate (s-t)(4)

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asked Jul 8, 2023 85.6k views

1 Answer

Shiv Singh · Answer 1 · 2023-07-12T20:23:10+0000

s(x)=2x+6

t(x)=3x

For (s+t)(x) add both functions:

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

Combine like terms

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

(s+t)(x)= 5x+6

(s*t)(x) , muitiply both:

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

Apply distributive property:

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

(s*t)(x) = 6x^2+18x

(s-t)(4); subtract and replace x by 4

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

(s-t)(4)= 8+6-12

(s-t)(4)= 2