Q. Let f(x)=43x+10 and g(x)=x2−3. What is the value of f(−2−g(3)) ?
Given Functions: We are given two functions:f(x)=43x+10g(x)=x2−3We need to find the value of f(−2−g(3)).First, we will calculate g(3).Substitute x=3 into g(x).g(3)=32−3
Calculate g(3): Calculate the value of g(3). g(3)=32−3 g(3)=9−3 g(3)=6 Now we have the value of g(3).
Substitute g(3): Next, we will substitute g(3) into the expression −2−g(3).−2−g(3)=−2−6
Calculate −2−g(3): Calculate the value of −2−g(3). −2−g(3)=−2−6 −2−g(3)=−8 Now we have the value of −2−g(3).
Substitute −8 into f(x): Finally, we will substitute −8 into f(x) to find f(−2−g(3)).f(−8)=(43)(−8)+10
Calculate f(−8): Calculate the value of f(−8). f(−8)=43(−8)+10 f(−8)=−6+10 f(−8)=4 Now we have the value of f(−2−g(3)).
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