Question

What is
f
(
√
2
)
+
g
(
√
3
)
if
f
(
x
)
=
5
x
2
−
x
+
5
and
g
(
x
)
=
3
x
2
+
2
x
−
1
?

Answer 1

Answer:

Find the maximum value of f(x); if f(x) is defined as the Min {-(x – 1)2 + 2, (x – 2)2 + 1}

a.1

b.2

c.0

d.3

B one is correct

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Answer 2

SOLUTION

GIVEN

f(x) = 5x² - x + 5 & g(x) = 3x² + 2x - 1

TO DETERMINE

f(√2) + g(√3)

EVALUATION

Here the given functions are

f(x) = 5x² - x + 5

g(x) = 3x² + 2x - 1

Now

f(√2)

= 5 (√2)² - √2 + 5

= 10 - √2 + 5

= 15 - √2

g(√3)

= 3x² + 2x - 1

= 3 (√3)² + 2√3 - 1

= 9 + 2√3 - 1

= 8 + 2√3

Thus we get

f(√2) + g(√3)

= 15 - √2 + 8 + 2√3

= 23 - √2 + 2√3

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