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Chapter 5: Q. 2 (page 256)

Find $f (3 x)$ if $f (x) = 4 - 2 x^{2}$ .

Short Answer

Expert verified

The value is $f (3 x) = 4 - 18 x^{2}$ .

Step by step solution

Step 1. Given Information

The given function is $f (x) = 4 - 2 x^{2}$ .

Step 2. Substitute the value of x=3x

The value of $f (3 x)$ is

$\begin{array}{rcl} f (3 x) & = & 4 - 2 \times {(3 x)}^{2} f (3 x) = 4 - 2 \times 9 x^{2} \\ f (3 x) & = & 4 - 18 x^{2} \end{array}$ .

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Find f(3x)iff(x)=4-2x2.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Substitute the value of x=3x

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Find $f (3 x)$ if $f (x) = 4 - 2 x^{2}$ .