Jika diketahui f(x) = 4x−1 dan g(x) = 2x2−3x+4 , maka fungsi gof(x) = .... 32x2-x+5 9x2-32x+28 32x2-28x+9 28x2-32x+9 28x2-32x-9
Mathematics
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Answer
Step-by-step solution
4 stepsUnderstand the definition of the composite function .
The notation means , which implies substituting the entire function into the variable of the function .
Substitute into .
Given:
Replace every in with :
Now substitute :
Expand and simplify the expression.
First, expand the squared term :
Now substitute this back into the expression:
Distribute the constants:
Combine like terms:
Compare the result with the given options.
The calculated function is . This matches option C.
The final answer is .
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