Let ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Exampl...

Question

Let ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (g∘ƒ)(0)

Accepted Answer

Find the value of G F F zero. F F F X is 37 X minus 12 and G X is negative three X plus 23. So we have G of F0. Let's go and find the general forum G F F F X G F F of X which can be rewritten like so with F of X inside the parentheses for gene, this just means that we'll take the equation for F of X and plug it into the X for G FX. Other words, we want of 37 x -12. Now we have negative three instead of X, we put 37 X -12 And then plus 23. Let's go ahead and simplify three times 37. Turns out to be 1 11 and negative 11 X negative three times another 12 gives us plus 36 we have a plus 23 there to get negative 1 11 X plus 59. Now we want G of F of zero, which is the plug in zero for this X negative 1 11 times zero plus 59. That is simplifies to 59. I can't simplify any farther is the answer to our problem? As answer B okay. I hope to help you solve the problem. Thank you for watching. Goodbye.

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Let ƒ(x)=2x-3 and g(x)=-x+3. Find each function value. See Example 5. (g∘ƒ)(0)