Let g(x) = 2 x − 8 and f(x)=x^2 + 6. Find g(f(-2))

For some reason user my answer to this question was deleted for being incorrect, but it WAS in fact CORRECT.

To repeat:

g(f(-2)) is equal to 12

Step-by-step explanation:

We can solve this simply by first applying function f() to -2, and applying function g() to the value returned:

f(x) = x² + 6

f(-2) = -2² + 6

= 4 + 6

= 10

g(x) = 2x - 8

g(10) = 2 × 10 - 8

= 20 - 8

= 12

Further to that, you can also solve this by applying function g to the function f itself, giving you a single function to find the value:

g(f(x))

= 2f(x) - 8

= 2(x² + 6) - 8

= 2x² + 12 - 8

= 2x² + 4

We can now plug the original -2 value in there to confirm our result

2(-2)² + 4

= 2 × 4 + 4

= 8 + 4

= 12

a is the right answer

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step-by-step explanation: