Question

Given: g(t) =t+5 and h(t) = 3t-2
Find: (goh)(-4+t)

Answer 1

• 3t - 9

Explanation:

Given:

• g(t) = t + 5 and h(t) = 3t - 2

Find the composite function (g·h)(t):

• (g·h)(t) = g(h(t)) = (3t - 2) + 5 = 3t + 3

Find (g·h)(-4 + t):

• (g·h)(-4 + t) = g(h(-4 + t)) = 3(-4 + t) + 3 = -12 + 3t + 3 = 3t - 9

Answer 2

The given information is,

→ g(t) = t + 5

→ h(t) = 3t - 2

Now we have to,

find the composite function (g•h)(t),

→ (g•h)(t)

→ g(h(t))

→ (3t - 2) + 5

→ 3t + 3

Let's find the (g•h)(-4 + t):

→ (g•h)(-4 + t)

→ g(h(-4 + t))

→ 3(-4 + t) + 3

→ -12 + 3t + 3

→ 3t - 9

Hence, the value is 3t - 9.