If f(x) = (x - a)2(x - b)2, find f(a + b). - Vidyadip

Question

If f(x) = (x - a)²(x - b)², find f(a + b).

✓

Answer

We have,
f(x) = (x - a)²(x - b)²
Now, f(a + b) = (a + b - a)²(a + b - b)²
= b²a²
Hence, f(a + b) = a²b²

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Functions→Functions — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

In how many ways can five children stand in a queue?

Prove that: cos²2x-cos²6x = sin 4x sin 8x

A coin is tossed repeatedly until a tail comes up for the first time. Write the sample space for this experiment.

Find x in the following.
$\frac{\text{x}}{10!}=\frac{1}{8!}+\frac{1}{9!}$

Find the value of the following trigonomentric ratio:
$\sin\Big(\frac{17\pi}{6}\Big)$

From a group of 15 cricket players, a team of 11 players is to be chosen. In how many ways can this be done?

Three coins are tossed together,find the probability of getting:

At least two heads.

Write the domain of the real function $f(x)=\frac{1}{\sqrt{|x|-x}}$

Differentiate the following function with respect to $(\text{x})$:

$\log_3\text{x}+3\log_\text{e}\text{x}+2\tan\text{x}$

Verify that (0, 7, -10), (1, 6, -6) and (4, 9, -6) are the vertices of an isosceles triangle.