Math  /  Algebra

QuestionThe functions ff and gg are defined as follows. f(x)=5x+24x+3f(x)=\frac{5 x+2}{4 x+3} and g(x)=x25xg(x)=\sqrt{x^{2}-5 x} Find f(5x)f\left(\frac{5}{x}\right) and g(x3)g(x-3). Write your answers without parentheses and simplify them as much as possible. f(5x)=f\left(\frac{5}{x}\right)= \square g(x3)=g(x-3)= \square

Studdy Solution
Simplify the expression under the square root:
g(x3)=x211x+24 g(x-3) = \sqrt{x^2 - 11x + 24}
The simplified expressions are:
f(5x)=25+2x20+3x f\left(\frac{5}{x}\right) = \frac{25 + 2x}{20 + 3x}
g(x3)=x211x+24 g(x-3) = \sqrt{x^2 - 11x + 24}

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