Question

If g(x) = x +4 h(x) = 3x-2, Find: g(5)
h(6)
g(-2)+h(-3)

Answer 1

Explanation:

You are given g(x) = x +4 and h(x) = 3x-2.

To find g(5), replace x in g(x) = x +4 with 5, obtaining g(5) = 5 + 4 = 9 = g(5)

To find h(6), replace x in h(x) = 3x-2 with 6, obtaining h(6) = 3(6) - 2 =

16 = h(6)

Similarly, g(-2) = -2 + 4 = 2 and h(-3) = -9 - 2 = -11

Then g(-2) + h(-3) = 2 - 11 = - 9 = g(-2) + h(-3)

Answer 2

g(-2)+h(-3) = -9

Explanation:

Given

• g(x) = x+4

• h(x) = 3x-2

To determine

• g(5)
• h(6)
• g(-2)+h(-3)

Determining g(5)

Given the function

g(x) = x + 4

substitute x = 5

g(5) = 5+4

g(5) = 9

Determining h(6)

Given the function

h(x) = 3x-2

substitute x = 6

h(6) = 3(6) - 2

h(6) = 18-2

h(6) = 16

Determining g(-2)+h(-3)

Given the function

g(x) = x + 4

substitute x = -2

g(-2) = -2 + 4

g(-2) = 2

Given the function

h(x) = 3x-2

substitute x = -3

h(-3) = 3(-3)-2

h(-3) = -9-2

h(-3) = -11

so

g(-2)+h(-3) = 2+(-11)

= 2-11

= -9

Therefore,

g(-2)+h(-3) = -9