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Chapter 5: Q59. (page 257)

If $f (x) = 2 x^{3} - 3 x^{2} = 4 x - 1$ and $g (x) = 2$ find $(f \circ g) (x)$ and $(g \circ f) (x)$ .

Short Answer

Expert verified

The value of $(f o g) (x) = 11$ and $(g o f) (x) = 2$ .

Step by step solution

Step 1. Given information.

The given function
and

Step 2. The composite function(f∘g)x=f(g(x)).Substitute g(x)=2 inf(g(x)).

Step 3. The composite function (g∘f)x=g(f(x))

$g (2 x^{3} - 3 x^{2} + 4 x - 1) = 2$

Thus, $(g \circ f) (x) = 2$

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If $f (x) = 2 x^{3} - 3 x^{2} = 4 x - 1$ and $g (x) = 2$ find $(f \circ g) (x)$ and $(g \circ f) (x)$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. The composite function(f∘g)x=f(g(x)).Substitute g(x)=2 inf(g(x)).

Step 3. The composite function (g∘f)x=g(f(x))

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Iff(x)=2x3-3x2=4x-1andg(x)=2find(f∘g)(x)and(g∘f)(x).

Short Answer

Step by step solution

Step 1. Given information.

Step 2. The composite function(f∘g)x=f(g(x)).Substitute g(x)=2 inf(g(x)).

Step 3. The composite function (g∘f)x=g(f(x))

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Decision Maths

Calculus

Probability and Statistics

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

If $f (x) = 2 x^{3} - 3 x^{2} = 4 x - 1$ and $g (x) = 2$ find $(f \circ g) (x)$ and $(g \circ f) (x)$ .