Chapter 5: Q. 93 (page 285)

Suppose that $g (x) = 4^{x} + 2$ .
(a) What is $g (- 1)$ ? What point is on the graph of g?
(b) If $g (x) = 66$ , what is x? What point is on the graph of g?

Short Answer

Expert verified

Part (a) $g (- 1) = \frac{9}{4}$ and the point on the graph of g is $(- 1, \frac{9}{4})$ .

Part (b) $x = 3$ and the point on the graph of g is $(3, 66)$ .

Step by step solution

Part (a) Step 1. Substitute x=-1 in g(x)=4x+2.

This gives

$g (- 1) = 4^{- 1} + 2 g (- 1) = \frac{1}{4} + 2 g (- 1) = \frac{9}{4}$

The point on the graph of the function g is $(- 1, \frac{9}{4})$ .

Part (b) Step 1. Finding value of x using f(x)=66.

This gives

$4^{x} + 2 = 66 4^{x} = 64 4^{x} = 4^{3}$

On comparing

$x = 3$

The point on the graph of the function g is $(3, 66)$ .

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Suppose that $g (x) = 4^{x} + 2$ .
(a) What is $g (- 1)$ ? What point is on the graph of g?
(b) If $g (x) = 66$ , what is x? What point is on the graph of g?

Short Answer

Step by step solution

Part (a) Step 1. Substitute x=-1 in g(x)=4x+2.

Part (b) Step 1. Finding value of x using f(x)=66.

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Suppose that g(x)=4x+2.(a) What is g(-1)? What point is on the graph of g?(b) If g(x)=66, what is x? What point is on the graph of g?

Short Answer

Step by step solution

Part (a) Step 1. Substitute x=-1 in g(x)=4x+2.

Part (b) Step 1. Finding value of x using f(x)=66.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

Suppose that $g (x) = 4^{x} + 2$ .
(a) What is $g (- 1)$ ? What point is on the graph of g?
(b) If $g (x) = 66$ , what is x? What point is on the graph of g?