Find the product. √5(2+√7)
A)2√5+√35 B)√45 C)2√5+2√7 D)√10+√35

A. 2√5 + √35

Step-by-step explanation:

Product means multiplication

√5(2+√7)

= 2 × √5 + √5 × √7

= 2√5 + √35

Option A is correct

B. √45

√5(2+√7)

=√5 * 2 + √5 * √7

=√10 + √35

=√45

Option B is incorrect

C. 2√5 + 2√7

√5(2+√7)

=2√5 + 2√7

Option C is incorrect

D. √10 + √35

√5(2+√7)

=√5 * 2 + √5*√7

=√10 + √35

Option D is incorrect

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2

equal to

step-by-step explanation: