Why isn't the answer to TMUA-P1-MM8-005 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MM8-005 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MM8-005?

No — calculators are banned in the TMUA. TMUA-P1-MM8-005 is set for a no-calculator target of about 180 seconds; the worked solution shows the fastest by-hand route.

Which TMUA specification point is TMUA-P1-MM8-005?

TMUA-P1-MM8-005 is Paper P1 · Graphs of functions (specification code MM8), level 2. Drill more of the same topic from this page.

TMUA-P1-MM8-005 — Paper P1 · Graphs of functions · Level 2

P1MM8Level 2~180s target

Spec: MM8 · No calculator · ~180s

Let

f(x) = 2x + 1

and

g(x) = x^2

. What is the value of

f(g(3))

Options

$7$
$13$
$19$
$36$
$49$

Letters only — the answer key is hidden. Work it out, then check the solution below.

Hint (check trope)

No written hint yet — check the trope: composition-order. Name the trap first, work the stem by hand, then open the solution below.

Show solution

Work inside-out:

g(3) = 9

, then

f(9) = 2(9) + 1 = 19

. Trap:

49

g(f(3))

— plausible if you compose in the wrong order.

Keep practising

Same topic · same level
P1MM8Level 2
TMUA-P1-MM8-004
How is the graph of y = f(x) + 2 obtained from the graph of y = f(x)?
Graphs of functions
Open TMUA-P1-MM8-004 →
Same trap: composition-order
P1MM2Level 1
TMUA-P1-MM2-001
Let f(x) = 2x + 3 and g(x) = x^2. What is the value of f(g(2))?
Sequences and series
Open TMUA-P1-MM2-001 →
Step up a level
P1MM8Level 3
TMUA-P1-MM8-009
Which statement correctly describes the stationary points of y = x^3 - 3x^2?
Graphs of functions
Open TMUA-P1-MM8-009 →

Browse more

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Keep practising

Same topic · same level

P1MM8Level 2

TMUA-P1-MM8-004

How is the graph of y = f(x) + 2 obtained from the graph of y = f(x)?

Graphs of functions

Open TMUA-P1-MM8-004 →

Same trap: composition-order

P1MM2Level 1

TMUA-P1-MM2-001

Let f(x) = 2x + 3 and g(x) = x^2. What is the value of f(g(2))?

Sequences and series

Open TMUA-P1-MM2-001 →

Step up a level

P1MM8Level 3

TMUA-P1-MM8-009

Which statement correctly describes the stationary points of y = x^3 - 3x^2?

Graphs of functions

Open TMUA-P1-MM8-009 →

TMUA-P1-MM8-005 — Paper P1 · Graphs of functions · Level 2

Options

Keep practising

Master Graphs of functions

TMUA-P1-MM8-005 — Paper P1 · Graphs of functions · Level 2

Options

Keep practising

Master Graphs of functions