Question

Given functions: g(a)=4a−1, h(a)=−2a−5

Find (g−h)(a):

A. -6a - 4

B. 6a - 4

C. 8

D. 6a + 4

Answer 1

To find (g-h)(a), subtract the function h(a) from g(a) and combine like terms. The result after performing the subtraction is option d) 6a + 4.

Step-by-step explanation:

To find (g-h)(a), we need to subtract the function h(a) from the function g(a). The functions are given by g(a)=4a−1 and h(a)=-2a−5. Subtracting these two functions would involve subtracting each corresponding term in the two functions. Perform the subtraction step by step as follows:

• Write the two functions: g(a) = 4a – 1 and h(a) = -2a – 5.
• Subtract h(a) from g(a): (g-h)(a) = (4a – 1) – (-2a – 5).
• Remove parentheses and change signs: (g-h)(a) = 4a – 1 + 2a + 5.
• Combine like terms: (g-h)(a) = 6a + 4.

Therefore, the correct answer for (g-h)(a) is option d)6a + 4.

Answer 2

D

Step-by-step explanation:

(g - h)(a)

= g(a) - h(a)

= 4a - 1 - (- 2a - 5 ) ← distribute parenthesis by - 1

= 4a - 1 + 2a + 5 ← collect like terms

= (4a + 2a) + (- 1 + 5)

= 6a + 4