Chapter 3: Q51. (page 127)

Find each value if $f (x) = 4 x + 3$ and $g (x) = 5 x - 7$ .
$51 . g (3)$

Short Answer

Expert verified

The value of the expression $g (3)$ is $8$ .

Step by step solution

Step-1 – Apply the concept of evaluating a function

To evaluate the function, take the original function, substitute the value in place of variable and simplify the expression.

Step-2 –Evaluate the expression.

Consider the expression $g (x) = 5 x - 7$ .

The objective is to find the value of $g (3)$ .

Substitute x as $3$ in the function $g (x) = 5 x - 7$

$g (3) = 5 (3) - 7$

Step-3 – Simplify the expression

Multiply the terms on the right hand side and compute the value.

$\begin{array}{l} g (3) = 5 (3) - 7 \\ = 15 - 7 \\ = 8 \end{array}$

Hence, the value of the expression $g (x) = 5 x - 7$ when $x = 3$ is $8$ .

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Find each value if $f (x) = 4 x + 3$ and $g (x) = 5 x - 7$ .
$51 . g (3)$

Short Answer

Step by step solution

Step-1 – Apply the concept of evaluating a function

Step-2 –Evaluate the expression.

Step-3 – Simplify the expression

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Find each value iffx=4x+3 and gx=5x-7 .51.g3

Short Answer

Step by step solution

Step-1 – Apply the concept of evaluating a function

Step-2 –Evaluate the expression.

Step-3 – Simplify the expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Discrete Mathematics

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Theoretical and Mathematical Physics

Logic and Functions

Decision Maths

Study anywhere. Anytime. Across all devices.

Find each value if $f (x) = 4 x + 3$ and $g (x) = 5 x - 7$ .
$51 . g (3)$