Let $f (x) = 7 x + 6$ and $g (x) = 4 - x^{2}$ . Evaluate the following:
1. $f (g (0)) =$
2. $g (f (0)) =$

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Answer

So, $g (f (0)) = - 32$ .

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Step 1 ：Define the functions: $f (x) = 7 x + 6$ and $g (x) = 4 - x^{2}$ .

Step 2 ：For the first question, we are asked to evaluate $f (g (0))$ . This means we first evaluate $g (0)$ and then substitute the result into $f (x)$ .

Step 3 ：Evaluate $g (0)$ to get 4.

Step 4 ：Substitute 4 into $f (x)$ to get $f (4) = 7 * 4 + 6 = 34$ .

Step 5 ：So, $f (g (0)) = 34$ .

Step 6 ：For the second question, we are asked to evaluate $g (f (0))$ . This means we first evaluate $f (0)$ and then substitute the result into $g (x)$ .

Step 7 ：Evaluate $f (0)$ to get 6.

Step 8 ：Substitute 6 into $g (x)$ to get $g (6) = 4 - 6^{2} = - 32$ .

Step 9 ：So, $g (f (0)) = - 32$ .

Let f(x)=7x+6 and g(x)=4−x2. Evaluate the following:1. f(g(0))=2. g(f(0))=

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Let $f (x) = 7 x + 6$ and $g (x) = 4 - x^{2}$ . Evaluate the following:
1. $f (g (0)) =$
2. $g (f (0)) =$