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

$(2 \times {2}^{2} - 10) \times (2 + 9) = - 22$
B
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Answer 2

Answer:

option A is correct

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

Step-by-step 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