If the function h is defined by h(x) = h(x -… | GMAT Sprint

Free Practice Question

PS · Problem Solving

555-605

Algebra

If the function h is defined by h(x) = h(x - 1) - x + 3 and h(3) = 4, what is the value of h(6)?

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-1

-2

Correct

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Explanation

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Official Explanation

Official

To find h(6), we will use the recursive definition of the function h. We know that h(3) = 4. We can calculate h(4), h(5), and then h(6) step by step.

Start with h(3):

h(3) = 4.

Calculate h(4):…

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Comments

DhairyaJan 11, 2025

I like this question!

HuanJan 2, 2025

can you explain more?

ElleMar 15, 2025

thanks!

PrathameshApr 25, 2025

Amazing

DApr 5, 2025

finally understood this

ChiragSep 19, 2024

this pattern comes up frequently

ashrithFeb 24, 2025

thanks for the answer

What this question tests

What it tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Common trap

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.