Question

Given the following functions f(x) and g(x), solve (f ⋅ g)(2) and select the correct answer below:

f(x) = 2x2 − 10

g(x) = x + 9


A. −22

B. 22

C. −66

D. 66

Answer 1

option A is correct

Value of
`(f\cdot g)(2)` is -22

Explanation:

Given the function:

`f(x) = 2x^2-10` .......[1]

`g(x) = x+9` .......[2]

Solve for:
`(f\cdot g)(2)`

`(f\cdot g)(2) = f(2) \cdot g(2)`

Put x = 2 in [2] we have;

`g(2) = 2+9=11`

Similarly, for x = 2 in [1] we have;

`f(2) = 2(2)^2-10 = 2(4)-10=8-10=-2`

Then;

`(f\cdot g)(2) = 11 \cdot (-2)=-22`

Therefore, the value of
`(f\cdot g)(2)` is, -22

Answer 2

`(2 * {2}^(2) - 10) * (2 + 9) = - 22`
B
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