Question

Given f(x) = 2x²- 5x-12 and g(x)= 2x +3
Find (f + g ) (-2)​

Answer 1

Answer:

6x + 3(0) – 1 = 6x – 1

Step-by-step explanation:

Answer 2

SOLUTION

GIVEN

f(x) = 2x²- 5x - 12 and g(x) = 2x + 3

TO DETERMINE

The value of ( f + g) ( - 2)

EVALUATION

Here the given functions are

f(x) = 2x²- 5x - 12 and g(x) = 2x + 3

Now

f(x) = 2x²- 5x - 12

⇒ f( - 2) = 2 × ( - 2)²- 5 × ( - 2) - 12

⇒ f(- 2) = 8 + 10 - 12

⇒ f(- 2) = 6

Again

g(x) = 2x + 3

⇒ g( - 2) = 2 × ( - 2) + 3

⇒ g( - 2) = - 4 + 3

⇒ g( - 2) = - 1

Thus we get

( f + g) ( - 2)

= f( - 2) + g( - 2)

= 6 - 1

= 5

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