Consider the function f with the table of values given below...

Consider the function f with the table of values given below and consider the function g(x) = 3f ( - 2x - 6) + 2. x | f(x) 0 | -4 4 | 0 8 | 10 12 | 12 Fill in the table below using g(x) and the table of values given above: x | g(x) -3 | -5 | -7 | -9 |

Transcript

00:01 Hi, here in this question we are given two table and we need to find the function g of x.

00:06 G of x equals to 3 times f of minus 2x plus 6 and plus 2.

00:13 Now here in our case we have first value of x equals to minus 3.

00:18 So here g of minus 3 is equal to 3 times f of minus 6 plus 6 plus 2.

00:25 Here plus 1 minus 6 cancel so we have 3 times f of 0 plus 2.

00:30 From the value given in the table here we have three times f of 0 which is minus 4 plus 2 so here in our case we can say that we got our first answer to be the value of g of minus 3 is equal to minus 10 similarly we need to calculate when x equals to minus 5 so here we have 3 times f of minus 2 multiplied with minus 5 minus 6 plus 2 this is our g of 5 so on for the simplification we have this value equals to 3 times f of 10 minus 6 plus 2.

01:05 So here this is again equal to 3 times f of 4 plus 2.

01:09 We know that from the above table the value of f of 4 is equal to 0.

01:16 So here substituting the value we have this value to be equal to 3 times 0 plus 2.

01:24 So here in our case we can say that we got our second answer to be the value of 3 .5 plus 2.

01:31 G of minus 5 is equal to 2.

01:34 Similarly, we need to calculate when x equals to minus 7.

01:38 So here in our case, g of minus 7 is equal to 3 times f of minus 2 multiplied with minus 7 minus 6 plus 2...

Question

Consider the function f with the table of values given below and consider the function g(x) = 3f ( - 2x - 6) + 2. x | f(x) 0 | -4 4 | 0 8 | 10 12 | 12 Fill in the table below using g(x) and the table of values given above: x | g(x) -3 | -5 | -7 | -9 |

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