If and , then the value of is

Step 1 We are given We need to compute Step 2 Compute Step 3 Compute Step 4 Now compute Wait, we had So now compute again BUT the final step should be So Final Answer The value of is 2

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Year

CAT 2017

Section

Quantitative

Topic

Functions

Difficulty

Hard

Question

Slot-1

If $f(x) = \dfrac{5x + 2}{3x - 5}$ and $g(x) = x^2 - 2x - 1$ , then the value of $g(f(f(3)))$ is:

$\dfrac{1}{3}$

$\dfrac{2}{3}$

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CAT 2017

Quantitative

Functions

Hard

If $f(x) = \dfrac{5x + 2}{3x - 5}$ and $g(x) = x^2 - 2x - 1$ , then the value of $g(f(f(3)))$ is:

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CAT 2017

Quantitative

Functions

Hard

If f(x)=5x+23x−5f(x) = \dfrac{5x + 2}{3x - 5}f(x)=3x−55x+2​ and g(x)=x2−2x−1g(x) = x^2 - 2x - 1g(x)=x2−2x−1, then the value of g(f(f(3)))g(f(f(3)))g(f(f(3))) is:

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If $f(x) = \dfrac{5x + 2}{3x - 5}$ and $g(x) = x^2 - 2x - 1$ , then the value of $g(f(f(3)))$ is: