What are the additive and multiplicative inverses of h(x) = x -- 24? additive inverse: j(x) = x + 24; multiplicative inverse: k(x) = 1/x — 24

additive inverse: j(x) = 1/x — 24; multiplicative inverse: k(x) = -x + 24

additive inverse: j(x) = -x + 24; multiplicative inverse: k(x) = 1/ x — 24

additive inverse: j(x) = -x + 24; multiplicative inverse: k(x) = x + 24

Additive inverse: , Multiplicative inverse:

Step-by-step explanation:

According to real number algebra, the additive and multiplicative numbers are numbers such that:

and ,

If , then:

Additive inverse

1) Given

2) Definitions of addition and subtraction

3)

4)

5) Compatibility with addition/Additive inverse/Modulative property.

6) By 2) and 5)/Result

Multiplicative inverse

1) Given

2) Compatibility with multiplication/Modulative property/Multiplicative inverse

3) Definition of division/Result

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.