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Chapter 5: Q. 94 (page 285)

Suppose that g(x)=5x-3.

(a) What is g(-1)? What point is on the graph of g?

(b) If g(x)=122, what is x? What point is on the graph of g?

Short Answer

Expert verified

Part (a) g(-1)=-145 and the point on the graph of g is -1,-145.

Part (b)x=3and the point on the graph of g is(3,122).

Step by step solution

01

Part (a) Step 1. Substitute x=-1 in g(x)=5x-3.

This gives

g(-1)=5-1-3=15-3=-145

The point on the graph of the function g is(-1,-145).

02

Part (b) Step 1. Finding x using g(x)=122.

We have

g(x)=1225x-3=1225x=122+35x=1255x=53

On comparing,

x=3

The point on the graph of the function g is(3,122).

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Most popular questions from this chapter

Begin with the graph of y=exand use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.

fx=2-e-x/2

Solve the equation(15)x=125

and verify your results using a graphing utility.

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The domain of a one-to-one functionf is[5,鈭�) , and its range is[-2,鈭�). State the domain and the range off-1 .

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